What is the Least Common Multiple of 44544 and 44564?

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 44544 and 44564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44544 and 44564, than apply into the LCM equation.

GCF(44544,44564) = 4
LCM(44544,44564) = ( 44544 × 44564) / 4
LCM(44544,44564) = 1985058816 / 4
LCM(44544,44564) = 496264704

Least Common Multiple (LCM) of 44544 and 44564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44544 and 44564. First we will calculate the prime factors of 44544 and 44564.

Prime Factorization of 44544

Prime Factorization of 44564

Now multiplying the highest exponent prime factors to calculate the LCM of 44544 and 44564.

LCM(44544,44564) = 2⁹ × 3¹ × 29¹ × 13¹ × 857¹
LCM(44544,44564) = 496264704