What is the Least Common Multiple of 57216 and 57228?

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 57216 and 57228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57216 and 57228, than apply into the LCM equation.

GCF(57216,57228) = 12
LCM(57216,57228) = ( 57216 × 57228) / 12
LCM(57216,57228) = 3274357248 / 12
LCM(57216,57228) = 272863104

Least Common Multiple (LCM) of 57216 and 57228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57216 and 57228. First we will calculate the prime factors of 57216 and 57228.

Prime Factorization of 57216

Prime Factorization of 57228

Now multiplying the highest exponent prime factors to calculate the LCM of 57216 and 57228.

LCM(57216,57228) = 2⁷ × 3¹ × 149¹ × 19¹ × 251¹
LCM(57216,57228) = 272863104