What is the Least Common Multiple of 57915 and 57928?

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 57915 and 57928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57915 and 57928, than apply into the LCM equation.

GCF(57915,57928) = 13
LCM(57915,57928) = ( 57915 × 57928) / 13
LCM(57915,57928) = 3354900120 / 13
LCM(57915,57928) = 258069240

Least Common Multiple (LCM) of 57915 and 57928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57915 and 57928. First we will calculate the prime factors of 57915 and 57928.

Prime Factorization of 57915

Prime Factorization of 57928

Now multiplying the highest exponent prime factors to calculate the LCM of 57915 and 57928.

LCM(57915,57928) = 3⁴ × 5¹ × 11¹ × 13¹ × 2³ × 557¹
LCM(57915,57928) = 258069240