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What is the Least Common Multiple of 56580 and 56599?

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 56580 and 56599 is 3202371420.

LCM(56580,56599) = 3202371420

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Least Common Multiple of 56580 and 56599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56580 and 56599, than apply into the LCM equation.

GCF(56580,56599) = 1
LCM(56580,56599) = ( 56580 × 56599) / 1
LCM(56580,56599) = 3202371420 / 1
LCM(56580,56599) = 3202371420

Least Common Multiple (LCM) of 56580 and 56599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56599. First we will calculate the prime factors of 56580 and 56599.

Prime Factorization of 56580

Prime factors of 56580 are 2, 3, 5, 23, 41. Prime factorization of 56580 in exponential form is:

56580 = 22 × 31 × 51 × 231 × 411

Prime Factorization of 56599

Prime factors of 56599 are 56599. Prime factorization of 56599 in exponential form is:

56599 = 565991

Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56599.

LCM(56580,56599) = 22 × 31 × 51 × 231 × 411 × 565991
LCM(56580,56599) = 3202371420