What is the Least Common Multiple of 54264 and 54272?

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 54264 and 54272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54264 and 54272, than apply into the LCM equation.

GCF(54264,54272) = 8
LCM(54264,54272) = ( 54264 × 54272) / 8
LCM(54264,54272) = 2945015808 / 8
LCM(54264,54272) = 368126976

Least Common Multiple (LCM) of 54264 and 54272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54264 and 54272. First we will calculate the prime factors of 54264 and 54272.

Prime Factorization of 54264

Prime Factorization of 54272

Now multiplying the highest exponent prime factors to calculate the LCM of 54264 and 54272.

LCM(54264,54272) = 2¹⁰ × 3¹ × 7¹ × 17¹ × 19¹ × 53¹
LCM(54264,54272) = 368126976