What is the Least Common Multiple of 44256 and 44271?

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 44256 and 44271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44256 and 44271, than apply into the LCM equation.

GCF(44256,44271) = 3
LCM(44256,44271) = ( 44256 × 44271) / 3
LCM(44256,44271) = 1959257376 / 3
LCM(44256,44271) = 653085792

Least Common Multiple (LCM) of 44256 and 44271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44256 and 44271. First we will calculate the prime factors of 44256 and 44271.

Prime Factorization of 44256

Prime Factorization of 44271

Now multiplying the highest exponent prime factors to calculate the LCM of 44256 and 44271.

LCM(44256,44271) = 2⁵ × 3² × 461¹ × 4919¹
LCM(44256,44271) = 653085792