What is the Least Common Multiple of 57628 and 57641?

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 57628 and 57641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57628 and 57641, than apply into the LCM equation.

GCF(57628,57641) = 1
LCM(57628,57641) = ( 57628 × 57641) / 1
LCM(57628,57641) = 3321735548 / 1
LCM(57628,57641) = 3321735548

Least Common Multiple (LCM) of 57628 and 57641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57628 and 57641. First we will calculate the prime factors of 57628 and 57641.

Prime Factorization of 57628

Prime Factorization of 57641

Now multiplying the highest exponent prime factors to calculate the LCM of 57628 and 57641.

LCM(57628,57641) = 2² × 14407¹ × 57641¹
LCM(57628,57641) = 3321735548