What is the Least Common Multiple of 57690 and 57708?

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 57690 and 57708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57690 and 57708, than apply into the LCM equation.

GCF(57690,57708) = 18
LCM(57690,57708) = ( 57690 × 57708) / 18
LCM(57690,57708) = 3329174520 / 18
LCM(57690,57708) = 184954140

Least Common Multiple (LCM) of 57690 and 57708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57690 and 57708. First we will calculate the prime factors of 57690 and 57708.

Prime Factorization of 57690

Prime Factorization of 57708

Now multiplying the highest exponent prime factors to calculate the LCM of 57690 and 57708.

LCM(57690,57708) = 2² × 3² × 5¹ × 641¹ × 7¹ × 229¹
LCM(57690,57708) = 184954140