What is the Least Common Multiple of 44976 and 44984?

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 44976 and 44984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44976 and 44984, than apply into the LCM equation.

GCF(44976,44984) = 8
LCM(44976,44984) = ( 44976 × 44984) / 8
LCM(44976,44984) = 2023200384 / 8
LCM(44976,44984) = 252900048

Least Common Multiple (LCM) of 44976 and 44984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44976 and 44984. First we will calculate the prime factors of 44976 and 44984.

Prime Factorization of 44976

Prime Factorization of 44984

Now multiplying the highest exponent prime factors to calculate the LCM of 44976 and 44984.

LCM(44976,44984) = 2⁴ × 3¹ × 937¹ × 5623¹
LCM(44976,44984) = 252900048