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What is the Least Common Multiple of 56509 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 56509 and 56520 is 3193888680.

LCM(56509,56520) = 3193888680

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Least Common Multiple of 56509 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 56509 and 56520, than apply into the LCM equation.

GCF(56509,56520) = 1
LCM(56509,56520) = ( 56509 × 56520) / 1
LCM(56509,56520) = 3193888680 / 1
LCM(56509,56520) = 3193888680

Least Common Multiple (LCM) of 56509 and 56520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56509 and 56520. First we will calculate the prime factors of 56509 and 56520.

Prime Factorization of 56509

Prime factors of 56509 are 56509. Prime factorization of 56509 in exponential form is:

56509 = 565091

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 56509 and 56520.

LCM(56509,56520) = 565091 × 23 × 32 × 51 × 1571
LCM(56509,56520) = 3193888680