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

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 1 LCM that 6 and also 7 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM of 6 and 7 is 42.

Explanation:

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

The methods to find the LCM of 6 and 7 are explained below.

By division MethodBy Listing MultiplesBy element Factorization Method

### LCM that 6 and 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 their prime factors (preferably common). The product of this divisors gives the LCM of 6 and also 7.

Step 3: proceed the steps until only 1s are left in the last row.

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

### LCM that 6 and 7 by Listing Multiples

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

Step 1: list a few multiples that 6 (6, 12, 18, 24, 30, 36, . . . ) and also 7 (7, 14, 21, 28, 35, 42, 49, . . . . )Step 2: The usual multiples native the multiples that 6 and 7 are 42, 84, . . .Step 3: The smallest usual multiple the 6 and 7 is 42.

∴ The least common multiple that 6 and 7 = 42.

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

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