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What is the Least Common Multiple of 56971 and 56985?

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 56985 is 3246492435.

LCM(56971,56985) = 3246492435

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Least Common Multiple of 56971 and 56985 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 56985, than apply into the LCM equation.

GCF(56971,56985) = 1
LCM(56971,56985) = ( 56971 × 56985) / 1
LCM(56971,56985) = 3246492435 / 1
LCM(56971,56985) = 3246492435

Least Common Multiple (LCM) of 56971 and 56985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56971 and 56985. First we will calculate the prime factors of 56971 and 56985.

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 56985

Prime factors of 56985 are 3, 5, 29, 131. Prime factorization of 56985 in exponential form is:

56985 = 31 × 51 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 56971 and 56985.

LCM(56971,56985) = 231 × 24771 × 31 × 51 × 291 × 1311
LCM(56971,56985) = 3246492435