What is the Least Common Multiple of 29256 and 29272?

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 29256 and 29272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29256 and 29272, than apply into the LCM equation.

GCF(29256,29272) = 8
LCM(29256,29272) = ( 29256 × 29272) / 8
LCM(29256,29272) = 856381632 / 8
LCM(29256,29272) = 107047704

Least Common Multiple (LCM) of 29256 and 29272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29256 and 29272. First we will calculate the prime factors of 29256 and 29272.

Prime Factorization of 29256

Prime Factorization of 29272

Now multiplying the highest exponent prime factors to calculate the LCM of 29256 and 29272.

LCM(29256,29272) = 2³ × 3¹ × 23¹ × 53¹ × 3659¹
LCM(29256,29272) = 107047704