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What is the Least Common Multiple of 56926 and 56931?

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 56926 and 56931 is 3240854106.

LCM(56926,56931) = 3240854106

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Least Common Multiple of 56926 and 56931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56926 and 56931, than apply into the LCM equation.

GCF(56926,56931) = 1
LCM(56926,56931) = ( 56926 × 56931) / 1
LCM(56926,56931) = 3240854106 / 1
LCM(56926,56931) = 3240854106

Least Common Multiple (LCM) of 56926 and 56931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56926 and 56931. First we will calculate the prime factors of 56926 and 56931.

Prime Factorization of 56926

Prime factors of 56926 are 2, 28463. Prime factorization of 56926 in exponential form is:

56926 = 21 × 284631

Prime Factorization of 56931

Prime factors of 56931 are 3, 7, 2711. Prime factorization of 56931 in exponential form is:

56931 = 31 × 71 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 56926 and 56931.

LCM(56926,56931) = 21 × 284631 × 31 × 71 × 27111
LCM(56926,56931) = 3240854106