What is the Least Common Multiple of 33256 and 33272?

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 33256 and 33272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33256 and 33272, than apply into the LCM equation.

GCF(33256,33272) = 8
LCM(33256,33272) = ( 33256 × 33272) / 8
LCM(33256,33272) = 1106493632 / 8
LCM(33256,33272) = 138311704

Least Common Multiple (LCM) of 33256 and 33272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33256 and 33272. First we will calculate the prime factors of 33256 and 33272.

Prime Factorization of 33256

Prime Factorization of 33272

Now multiplying the highest exponent prime factors to calculate the LCM of 33256 and 33272.

LCM(33256,33272) = 2³ × 4157¹ × 4159¹
LCM(33256,33272) = 138311704