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What is the Least Common Multiple of 56580 and 56595?

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 56595 is 213476340.

LCM(56580,56595) = 213476340

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Least Common Multiple of 56580 and 56595 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 56595, than apply into the LCM equation.

GCF(56580,56595) = 15
LCM(56580,56595) = ( 56580 × 56595) / 15
LCM(56580,56595) = 3202145100 / 15
LCM(56580,56595) = 213476340

Least Common Multiple (LCM) of 56580 and 56595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56595. First we will calculate the prime factors of 56580 and 56595.

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 56595

Prime factors of 56595 are 3, 5, 7, 11. Prime factorization of 56595 in exponential form is:

56595 = 31 × 51 × 73 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56595.

LCM(56580,56595) = 22 × 31 × 51 × 231 × 411 × 73 × 111
LCM(56580,56595) = 213476340