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What is the Least Common Multiple of 56971 and 56979?

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 56971 and 56979 is 3246150609.

LCM(56971,56979) = 3246150609

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Least Common Multiple of 56971 and 56979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56971 and 56979, than apply into the LCM equation.

GCF(56971,56979) = 1
LCM(56971,56979) = ( 56971 × 56979) / 1
LCM(56971,56979) = 3246150609 / 1
LCM(56971,56979) = 3246150609

Least Common Multiple (LCM) of 56971 and 56979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56971 and 56979. First we will calculate the prime factors of 56971 and 56979.

Prime Factorization of 56971

Prime factors of 56971 are 23, 2477. Prime factorization of 56971 in exponential form is:

56971 = 231 × 24771

Prime Factorization of 56979

Prime factors of 56979 are 3, 13, 487. Prime factorization of 56979 in exponential form is:

56979 = 32 × 131 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 56971 and 56979.

LCM(56971,56979) = 231 × 24771 × 32 × 131 × 4871
LCM(56971,56979) = 3246150609