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What is the Least Common Multiple of 6751 and 6756?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6751 and 6756 is 45609756.

LCM(6751,6756) = 45609756

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Least Common Multiple of 6751 and 6756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6751 and 6756, than apply into the LCM equation.

GCF(6751,6756) = 1
LCM(6751,6756) = ( 6751 × 6756) / 1
LCM(6751,6756) = 45609756 / 1
LCM(6751,6756) = 45609756

Least Common Multiple (LCM) of 6751 and 6756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6751 and 6756. First we will calculate the prime factors of 6751 and 6756.

Prime Factorization of 6751

Prime factors of 6751 are 43, 157. Prime factorization of 6751 in exponential form is:

6751 = 431 × 1571

Prime Factorization of 6756

Prime factors of 6756 are 2, 3, 563. Prime factorization of 6756 in exponential form is:

6756 = 22 × 31 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 6751 and 6756.

LCM(6751,6756) = 431 × 1571 × 22 × 31 × 5631
LCM(6751,6756) = 45609756