LCM that 2 and 7 is the the smallest number amongst all usual multiples of 2 and also 7. The first few multiples the 2 and 7 room (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively. There room 3 frequently used methods to find LCM of 2 and 7 - by division method, by element factorization, and by listing multiples.

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1.LCM that 2 and also 7
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 2 and also 7 is 14.

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Explanation:

The LCM of two non-zero integers, x(2) and also y(7), is the smallest confident integer m(14) the is divisible by both x(2) and also y(7) without any remainder.


Let's look in ~ the different methods because that finding the LCM that 2 and 7.

By Listing MultiplesBy prime Factorization MethodBy division Method

LCM the 2 and 7 through Listing Multiples

To calculation the LCM of 2 and also 7 through listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples of 2 (2, 4, 6, 8, 10, 12, 14, . . . ) and 7 (7, 14, 21, 28, 35, 42, 49, . . . . )Step 2: The usual multiples native the multiples the 2 and 7 space 14, 28, . . .Step 3: The smallest usual multiple that 2 and 7 is 14.

∴ The least common multiple of 2 and 7 = 14.

LCM of 2 and also 7 by element Factorization

Prime administer of 2 and also 7 is (2) = 21 and also (7) = 71 respectively. LCM that 2 and 7 can be acquired by multiply prime components raised to their respective highest power, i.e. 21 × 71 = 14.Hence, the LCM that 2 and also 7 by prime factorization is 14.

LCM that 2 and 7 by department Method

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To calculation the LCM of 2 and also 7 by the division method, we will divide the numbers(2, 7) by your prime factors (preferably common). The product of this divisors provides the LCM of 2 and also 7.

Step 3: continue the procedures until only 1s are left in the critical row.

The LCM of 2 and 7 is the product of all prime number on the left, i.e. LCM(2, 7) by department method = 2 × 7 = 14.

☛ additionally Check:


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FAQs top top LCM of 2 and also 7

What is the LCM that 2 and also 7?

The LCM of 2 and also 7 is 14. To uncover the least usual multiple of 2 and 7, we require to uncover the multiples of 2 and 7 (multiples the 2 = 2, 4, 6, 8 . . . . 14; multiples that 7 = 7, 14, 21, 28) and choose the the smallest multiple the is specifically divisible through 2 and 7, i.e., 14.

How to discover the LCM of 2 and also 7 by prime Factorization?

To find the LCM of 2 and 7 using prime factorization, us will uncover the element factors, (2 = 2) and also (7 = 7). LCM of 2 and 7 is the product the prime factors raised to their respective highest exponent amongst the number 2 and 7.⇒ LCM the 2, 7 = 21 × 71 = 14.

What are the methods to uncover LCM the 2 and also 7?

The frequently used techniques to discover the LCM that 2 and 7 are:

Prime administrate MethodListing MultiplesDivision Method

Which the the complying with is the LCM that 2 and also 7? 45, 18, 14, 5

The value of LCM that 2, 7 is the smallest usual multiple the 2 and 7. The number solve the given condition is 14.

If the LCM of 7 and also 2 is 14, find its GCF.

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LCM(7, 2) × GCF(7, 2) = 7 × 2Since the LCM that 7 and 2 = 14⇒ 14 × GCF(7, 2) = 14Therefore, the GCF (greatest common factor) = 14/14 = 1.