What is the Least Common Multiple of 44616 and 44627?

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 44616 and 44627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44616 and 44627, than apply into the LCM equation.

GCF(44616,44627) = 11
LCM(44616,44627) = ( 44616 × 44627) / 11
LCM(44616,44627) = 1991078232 / 11
LCM(44616,44627) = 181007112

Least Common Multiple (LCM) of 44616 and 44627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44616 and 44627. First we will calculate the prime factors of 44616 and 44627.

Prime Factorization of 44616

Prime Factorization of 44627

Now multiplying the highest exponent prime factors to calculate the LCM of 44616 and 44627.

LCM(44616,44627) = 2³ × 3¹ × 11¹ × 13² × 4057¹
LCM(44616,44627) = 181007112