What is the Least Common Multiple of 57115 and 57135?

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 57115 and 57135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57115 and 57135, than apply into the LCM equation.

GCF(57115,57135) = 5
LCM(57115,57135) = ( 57115 × 57135) / 5
LCM(57115,57135) = 3263265525 / 5
LCM(57115,57135) = 652653105

Least Common Multiple (LCM) of 57115 and 57135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57115 and 57135. First we will calculate the prime factors of 57115 and 57135.

Prime Factorization of 57115

Prime Factorization of 57135

Now multiplying the highest exponent prime factors to calculate the LCM of 57115 and 57135.

LCM(57115,57135) = 5¹ × 11423¹ × 3¹ × 13¹ × 293¹
LCM(57115,57135) = 652653105