What is the Least Common Multiple of 44538 and 44544?

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 44544 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 44544, than apply into the LCM equation.

GCF(44538,44544) = 6
LCM(44538,44544) = ( 44538 × 44544) / 6
LCM(44538,44544) = 1983900672 / 6
LCM(44538,44544) = 330650112

Least Common Multiple (LCM) of 44538 and 44544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44538 and 44544. First we will calculate the prime factors of 44538 and 44544.

Prime Factorization of 44538

Prime Factorization of 44544

Now multiplying the highest exponent prime factors to calculate the LCM of 44538 and 44544.

LCM(44538,44544) = 2⁹ × 3¹ × 13¹ × 571¹ × 29¹
LCM(44538,44544) = 330650112