What is the Least Common Multiple of 51608 and 51627?

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 51608 and 51627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51608 and 51627, than apply into the LCM equation.

GCF(51608,51627) = 1
LCM(51608,51627) = ( 51608 × 51627) / 1
LCM(51608,51627) = 2664366216 / 1
LCM(51608,51627) = 2664366216

Least Common Multiple (LCM) of 51608 and 51627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51608 and 51627. First we will calculate the prime factors of 51608 and 51627.

Prime Factorization of 51608

Prime Factorization of 51627

Now multiplying the highest exponent prime factors to calculate the LCM of 51608 and 51627.

LCM(51608,51627) = 2³ × 6451¹ × 3¹ × 17209¹
LCM(51608,51627) = 2664366216