What is the Least Common Multiple of 57264 and 57284?

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 57284 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 57284, than apply into the LCM equation.

GCF(57264,57284) = 4
LCM(57264,57284) = ( 57264 × 57284) / 4
LCM(57264,57284) = 3280310976 / 4
LCM(57264,57284) = 820077744

Least Common Multiple (LCM) of 57264 and 57284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57264 and 57284. First we will calculate the prime factors of 57264 and 57284.

Prime Factorization of 57264

Prime Factorization of 57284

Now multiplying the highest exponent prime factors to calculate the LCM of 57264 and 57284.

LCM(57264,57284) = 2⁴ × 3¹ × 1193¹ × 14321¹
LCM(57264,57284) = 820077744