What is the Least Common Multiple of 44628 and 44646?

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 44628 and 44646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44628 and 44646, than apply into the LCM equation.

GCF(44628,44646) = 6
LCM(44628,44646) = ( 44628 × 44646) / 6
LCM(44628,44646) = 1992461688 / 6
LCM(44628,44646) = 332076948

Least Common Multiple (LCM) of 44628 and 44646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44628 and 44646. First we will calculate the prime factors of 44628 and 44646.

Prime Factorization of 44628

Prime Factorization of 44646

Now multiplying the highest exponent prime factors to calculate the LCM of 44628 and 44646.

LCM(44628,44646) = 2² × 3¹ × 3719¹ × 7¹ × 1063¹
LCM(44628,44646) = 332076948