What is the Least Common Multiple of 44124 and 44144?

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 44124 and 44144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44124 and 44144, than apply into the LCM equation.

GCF(44124,44144) = 4
LCM(44124,44144) = ( 44124 × 44144) / 4
LCM(44124,44144) = 1947809856 / 4
LCM(44124,44144) = 486952464

Least Common Multiple (LCM) of 44124 and 44144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44124 and 44144. First we will calculate the prime factors of 44124 and 44144.

Prime Factorization of 44124

Prime Factorization of 44144

Now multiplying the highest exponent prime factors to calculate the LCM of 44124 and 44144.

LCM(44124,44144) = 2⁴ × 3¹ × 3677¹ × 31¹ × 89¹
LCM(44124,44144) = 486952464