What is the Least Common Multiple of 44544 and 44559?

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 44559 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 44559, than apply into the LCM equation.

GCF(44544,44559) = 3
LCM(44544,44559) = ( 44544 × 44559) / 3
LCM(44544,44559) = 1984836096 / 3
LCM(44544,44559) = 661612032

Least Common Multiple (LCM) of 44544 and 44559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44544 and 44559. First we will calculate the prime factors of 44544 and 44559.

Prime Factorization of 44544

Prime Factorization of 44559

Now multiplying the highest exponent prime factors to calculate the LCM of 44544 and 44559.

LCM(44544,44559) = 2⁹ × 3² × 29¹ × 4951¹
LCM(44544,44559) = 661612032