What is the Least Common Multiple of 56610 and 56627?

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 56610 and 56627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56610 and 56627, than apply into the LCM equation.

GCF(56610,56627) = 17
LCM(56610,56627) = ( 56610 × 56627) / 17
LCM(56610,56627) = 3205654470 / 17
LCM(56610,56627) = 188567910

Least Common Multiple (LCM) of 56610 and 56627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56610 and 56627. First we will calculate the prime factors of 56610 and 56627.

Prime Factorization of 56610

Prime Factorization of 56627

Now multiplying the highest exponent prime factors to calculate the LCM of 56610 and 56627.

LCM(56610,56627) = 2¹ × 3² × 5¹ × 17¹ × 37¹ × 3331¹
LCM(56610,56627) = 188567910