What is the Least Common Multiple of 44376 and 44396?

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 44376 and 44396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44376 and 44396, than apply into the LCM equation.

GCF(44376,44396) = 4
LCM(44376,44396) = ( 44376 × 44396) / 4
LCM(44376,44396) = 1970116896 / 4
LCM(44376,44396) = 492529224

Least Common Multiple (LCM) of 44376 and 44396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44376 and 44396. First we will calculate the prime factors of 44376 and 44396.

Prime Factorization of 44376

Prime Factorization of 44396

Now multiplying the highest exponent prime factors to calculate the LCM of 44376 and 44396.

LCM(44376,44396) = 2³ × 3¹ × 43² × 11¹ × 1009¹
LCM(44376,44396) = 492529224