What is the Least Common Multiple of 57288 and 57292?

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 57288 and 57292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57288 and 57292, than apply into the LCM equation.

GCF(57288,57292) = 4
LCM(57288,57292) = ( 57288 × 57292) / 4
LCM(57288,57292) = 3282144096 / 4
LCM(57288,57292) = 820536024

Least Common Multiple (LCM) of 57288 and 57292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57288 and 57292. First we will calculate the prime factors of 57288 and 57292.

Prime Factorization of 57288

Prime Factorization of 57292

Now multiplying the highest exponent prime factors to calculate the LCM of 57288 and 57292.

LCM(57288,57292) = 2³ × 3¹ × 7¹ × 11¹ × 31¹ × 14323¹
LCM(57288,57292) = 820536024