What is the Least Common Multiple of 44625 and 44639?

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 44625 and 44639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44625 and 44639, than apply into the LCM equation.

GCF(44625,44639) = 7
LCM(44625,44639) = ( 44625 × 44639) / 7
LCM(44625,44639) = 1992015375 / 7
LCM(44625,44639) = 284573625

Least Common Multiple (LCM) of 44625 and 44639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44625 and 44639. First we will calculate the prime factors of 44625 and 44639.

Prime Factorization of 44625

Prime Factorization of 44639

Now multiplying the highest exponent prime factors to calculate the LCM of 44625 and 44639.

LCM(44625,44639) = 3¹ × 5³ × 7² × 17¹ × 911¹
LCM(44625,44639) = 284573625