What is the Least Common Multiple of 56595 and 56609?

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 56595 and 56609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56595 and 56609, than apply into the LCM equation.

GCF(56595,56609) = 7
LCM(56595,56609) = ( 56595 × 56609) / 7
LCM(56595,56609) = 3203786355 / 7
LCM(56595,56609) = 457683765

Least Common Multiple (LCM) of 56595 and 56609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56595 and 56609. First we will calculate the prime factors of 56595 and 56609.

Prime Factorization of 56595

Prime Factorization of 56609

Now multiplying the highest exponent prime factors to calculate the LCM of 56595 and 56609.

LCM(56595,56609) = 3¹ × 5¹ × 7³ × 11¹ × 8087¹
LCM(56595,56609) = 457683765