What is the Least Common Multiple of 57264 and 57279?

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 57264 and 57279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57264 and 57279, than apply into the LCM equation.

GCF(57264,57279) = 3
LCM(57264,57279) = ( 57264 × 57279) / 3
LCM(57264,57279) = 3280024656 / 3
LCM(57264,57279) = 1093341552

Least Common Multiple (LCM) of 57264 and 57279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57264 and 57279. First we will calculate the prime factors of 57264 and 57279.

Prime Factorization of 57264

Prime Factorization of 57279

Now multiplying the highest exponent prime factors to calculate the LCM of 57264 and 57279.

LCM(57264,57279) = 2⁴ × 3¹ × 1193¹ × 61¹ × 313¹
LCM(57264,57279) = 1093341552