What is the Least Common Multiple of 44312 and 44332?

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 44312 and 44332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44312 and 44332, than apply into the LCM equation.

GCF(44312,44332) = 4
LCM(44312,44332) = ( 44312 × 44332) / 4
LCM(44312,44332) = 1964439584 / 4
LCM(44312,44332) = 491109896

Least Common Multiple (LCM) of 44312 and 44332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44312 and 44332. First we will calculate the prime factors of 44312 and 44332.

Prime Factorization of 44312

Prime Factorization of 44332

Now multiplying the highest exponent prime factors to calculate the LCM of 44312 and 44332.

LCM(44312,44332) = 2³ × 29¹ × 191¹ × 11083¹
LCM(44312,44332) = 491109896