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

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

Answer: LCM the 6 and also 7 is 42. Explanation:

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

The approaches to discover the LCM of 6 and also 7 are defined below.

By department MethodBy Listing MultiplesBy prime Factorization Method

### LCM that 6 and 7 by department Method To calculation the LCM the 6 and 7 through the department method, we will divide the numbers(6, 7) by your prime determinants (preferably common). The product of these divisors gives the LCM of 6 and also 7.

Step 3: continue the steps until just 1s room left in the critical row.

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

### LCM of 6 and 7 through Listing Multiples To calculate the LCM that 6 and 7 by listing out the typical multiples, we deserve to follow the given below steps:

Step 1: list a couple of multiples of 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 the 6 and 7 are 42, 84, . . .Step 3: The smallest typical multiple that 6 and 7 is 42.

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

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

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