What is the Least Common Multiple of 44576 and 44589?

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 44576 and 44589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44576 and 44589, than apply into the LCM equation.

GCF(44576,44589) = 1
LCM(44576,44589) = ( 44576 × 44589) / 1
LCM(44576,44589) = 1987599264 / 1
LCM(44576,44589) = 1987599264

Least Common Multiple (LCM) of 44576 and 44589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44576 and 44589. First we will calculate the prime factors of 44576 and 44589.

Prime Factorization of 44576

Prime Factorization of 44589

Now multiplying the highest exponent prime factors to calculate the LCM of 44576 and 44589.

LCM(44576,44589) = 2⁵ × 7¹ × 199¹ × 3¹ × 89¹ × 167¹
LCM(44576,44589) = 1987599264