What is the Least Common Multiple of 57616 and 57625?

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 57616 and 57625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57616 and 57625, than apply into the LCM equation.

GCF(57616,57625) = 1
LCM(57616,57625) = ( 57616 × 57625) / 1
LCM(57616,57625) = 3320122000 / 1
LCM(57616,57625) = 3320122000

Least Common Multiple (LCM) of 57616 and 57625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57616 and 57625. First we will calculate the prime factors of 57616 and 57625.

Prime Factorization of 57616

Prime Factorization of 57625

Now multiplying the highest exponent prime factors to calculate the LCM of 57616 and 57625.

LCM(57616,57625) = 2⁴ × 13¹ × 277¹ × 5³ × 461¹
LCM(57616,57625) = 3320122000