What is the Least Common Multiple of 44688 and 44704?

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 44688 and 44704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44688 and 44704, than apply into the LCM equation.

GCF(44688,44704) = 16
LCM(44688,44704) = ( 44688 × 44704) / 16
LCM(44688,44704) = 1997732352 / 16
LCM(44688,44704) = 124858272

Least Common Multiple (LCM) of 44688 and 44704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44688 and 44704. First we will calculate the prime factors of 44688 and 44704.

Prime Factorization of 44688

Prime Factorization of 44704

Now multiplying the highest exponent prime factors to calculate the LCM of 44688 and 44704.

LCM(44688,44704) = 2⁵ × 3¹ × 7² × 19¹ × 11¹ × 127¹
LCM(44688,44704) = 124858272