LCM that 6 and also 7 is the smallest number among all usual multiples that 6 and 7. The first couple of multiples of 6 and 7 are (6, 12, 18, 24, 30, 36, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively. There space 3 typically used methods to find LCM of 6 and also 7 - by department method, by element factorization, and by listing multiples.

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1. | LCM the 6 and 7 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 6 and also 7 is 42.

**Explanation: **

The LCM of two non-zero integers, x(6) and y(7), is the smallest confident integer m(42) that is divisible by both x(6) and also y(7) without any remainder.

The techniques to discover the LCM of 6 and also 7 are described below.

By division MethodBy Listing MultiplesBy prime Factorization Method### LCM that 6 and also 7 by division Method

To calculate the LCM of 6 and also 7 by the division method, we will divide the numbers(6, 7) by your prime components (preferably common). The product of this divisors provides the LCM of 6 and 7.

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

The LCM of 6 and also 7 is the product of every prime numbers on the left, i.e. LCM(6, 7) by division method = 2 × 3 × 7 = 42.

### LCM the 6 and 7 through Listing Multiples

To calculate the LCM of 6 and 7 by listing the end the common multiples, we have the right to follow the given below steps:

**Step 1:**perform a couple of multiples that 6 (6, 12, 18, 24, 30, 36, . . . ) and 7 (7, 14, 21, 28, 35, 42, 49, . . . . )

**Step 2:**The typical multiples from the multiples the 6 and also 7 room 42, 84, . . .

**Step 3:**The smallest usual multiple the 6 and 7 is 42.

∴ The least common multiple of 6 and also 7 = 42.

See more: What Is The Cube Root Of 1331, What Will Be The Cube Root Of 1331

### LCM the 6 and also 7 by element Factorization

Prime factorization of 6 and 7 is (2 × 3) = 21 × 31 and (7) = 71 respectively. LCM that 6 and 7 deserve to be derived by multiplying prime factors raised to their respective highest power, i.e. 21 × 31 × 71 = 42.Hence, the LCM the 6 and also 7 by element factorization is 42.