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

You are watching: Common denominator of 6 and 7

1.LCM that 6 and 7
2.List that 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 also y(7), is the smallest optimistic integer m(42) that is divisible through both x(6) and also y(7) without any kind of remainder.


The methods to find the LCM that 6 and 7 are defined below.

By department MethodBy Listing MultiplesBy prime Factorization Method

LCM that 6 and 7 by division Method

*

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

Step 3: proceed the steps until just 1s space left in the critical row.

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

LCM that 6 and 7 by Listing Multiples

*

To calculate the LCM the 6 and also 7 by listing the end the usual multiples, we deserve to follow the given below steps:

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

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

See more: How Are You Fairing Or Faring Vs, Faring Meaning

LCM the 6 and also 7 by element Factorization

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