What is the Least Common Multiple of 56584 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 of 56584 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 56584 and 56595, than apply into the LCM equation.

GCF(56584,56595) = 11
LCM(56584,56595) = ( 56584 × 56595) / 11
LCM(56584,56595) = 3202371480 / 11
LCM(56584,56595) = 291124680

Least Common Multiple (LCM) of 56584 and 56595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56584 and 56595. First we will calculate the prime factors of 56584 and 56595.

Prime Factorization of 56584

Prime Factorization of 56595

Now multiplying the highest exponent prime factors to calculate the LCM of 56584 and 56595.

LCM(56584,56595) = 2³ × 11¹ × 643¹ × 3¹ × 5¹ × 7³
LCM(56584,56595) = 291124680