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What is the Least Common Multiple of 56512 and 56520?

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 56512 and 56520 is 399257280.

LCM(56512,56520) = 399257280

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Least Common Multiple of 56512 and 56520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56512 and 56520, than apply into the LCM equation.

GCF(56512,56520) = 8
LCM(56512,56520) = ( 56512 × 56520) / 8
LCM(56512,56520) = 3194058240 / 8
LCM(56512,56520) = 399257280

Least Common Multiple (LCM) of 56512 and 56520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56512 and 56520. First we will calculate the prime factors of 56512 and 56520.

Prime Factorization of 56512

Prime factors of 56512 are 2, 883. Prime factorization of 56512 in exponential form is:

56512 = 26 × 8831

Prime Factorization of 56520

Prime factors of 56520 are 2, 3, 5, 157. Prime factorization of 56520 in exponential form is:

56520 = 23 × 32 × 51 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 56512 and 56520.

LCM(56512,56520) = 26 × 8831 × 32 × 51 × 1571
LCM(56512,56520) = 399257280