What is the Least Common Multiple of 44538 and 44552?

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 44538 and 44552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44538 and 44552, than apply into the LCM equation.

GCF(44538,44552) = 2
LCM(44538,44552) = ( 44538 × 44552) / 2
LCM(44538,44552) = 1984256976 / 2
LCM(44538,44552) = 992128488

Least Common Multiple (LCM) of 44538 and 44552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44538 and 44552. First we will calculate the prime factors of 44538 and 44552.

Prime Factorization of 44538

Prime Factorization of 44552

Now multiplying the highest exponent prime factors to calculate the LCM of 44538 and 44552.

LCM(44538,44552) = 2³ × 3¹ × 13¹ × 571¹ × 5569¹
LCM(44538,44552) = 992128488