What is the Least Common Multiple of 57528 and 57546?

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 57528 and 57546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57528 and 57546, than apply into the LCM equation.

GCF(57528,57546) = 18
LCM(57528,57546) = ( 57528 × 57546) / 18
LCM(57528,57546) = 3310506288 / 18
LCM(57528,57546) = 183917016

Least Common Multiple (LCM) of 57528 and 57546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57528 and 57546. First we will calculate the prime factors of 57528 and 57546.

Prime Factorization of 57528

Prime Factorization of 57546

Now multiplying the highest exponent prime factors to calculate the LCM of 57528 and 57546.

LCM(57528,57546) = 2³ × 3² × 17¹ × 47¹ × 23¹ × 139¹
LCM(57528,57546) = 183917016