What is the Least Common Multiple of 44612 and 44632?

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 44612 and 44632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44612 and 44632, than apply into the LCM equation.

GCF(44612,44632) = 4
LCM(44612,44632) = ( 44612 × 44632) / 4
LCM(44612,44632) = 1991122784 / 4
LCM(44612,44632) = 497780696

Least Common Multiple (LCM) of 44612 and 44632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44612 and 44632. First we will calculate the prime factors of 44612 and 44632.

Prime Factorization of 44612

Prime Factorization of 44632

Now multiplying the highest exponent prime factors to calculate the LCM of 44612 and 44632.

LCM(44612,44632) = 2³ × 19¹ × 587¹ × 7¹ × 797¹
LCM(44612,44632) = 497780696