What is the Least Common Multiple of 57816 and 57828?

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 57816 and 57828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57816 and 57828, than apply into the LCM equation.

GCF(57816,57828) = 12
LCM(57816,57828) = ( 57816 × 57828) / 12
LCM(57816,57828) = 3343383648 / 12
LCM(57816,57828) = 278615304

Least Common Multiple (LCM) of 57816 and 57828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57816 and 57828. First we will calculate the prime factors of 57816 and 57828.

Prime Factorization of 57816

Prime Factorization of 57828

Now multiplying the highest exponent prime factors to calculate the LCM of 57816 and 57828.

LCM(57816,57828) = 2³ × 3² × 11¹ × 73¹ × 61¹ × 79¹
LCM(57816,57828) = 278615304