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What is the Least Common Multiple of 56917 and 56936?

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 56917 and 56936 is 3240626312.

LCM(56917,56936) = 3240626312

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Least Common Multiple of 56917 and 56936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56917 and 56936, than apply into the LCM equation.

GCF(56917,56936) = 1
LCM(56917,56936) = ( 56917 × 56936) / 1
LCM(56917,56936) = 3240626312 / 1
LCM(56917,56936) = 3240626312

Least Common Multiple (LCM) of 56917 and 56936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56917 and 56936. First we will calculate the prime factors of 56917 and 56936.

Prime Factorization of 56917

Prime factors of 56917 are 7, 47, 173. Prime factorization of 56917 in exponential form is:

56917 = 71 × 471 × 1731

Prime Factorization of 56936

Prime factors of 56936 are 2, 11, 647. Prime factorization of 56936 in exponential form is:

56936 = 23 × 111 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 56917 and 56936.

LCM(56917,56936) = 71 × 471 × 1731 × 23 × 111 × 6471
LCM(56917,56936) = 3240626312