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What is the Least Common Multiple of 56566 and 56570?

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 56566 and 56570 is 1599969310.

LCM(56566,56570) = 1599969310

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Least Common Multiple of 56566 and 56570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56566 and 56570, than apply into the LCM equation.

GCF(56566,56570) = 2
LCM(56566,56570) = ( 56566 × 56570) / 2
LCM(56566,56570) = 3199938620 / 2
LCM(56566,56570) = 1599969310

Least Common Multiple (LCM) of 56566 and 56570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56566 and 56570. First we will calculate the prime factors of 56566 and 56570.

Prime Factorization of 56566

Prime factors of 56566 are 2, 28283. Prime factorization of 56566 in exponential form is:

56566 = 21 × 282831

Prime Factorization of 56570

Prime factors of 56570 are 2, 5, 5657. Prime factorization of 56570 in exponential form is:

56570 = 21 × 51 × 56571

Now multiplying the highest exponent prime factors to calculate the LCM of 56566 and 56570.

LCM(56566,56570) = 21 × 282831 × 51 × 56571
LCM(56566,56570) = 1599969310