What is the Least Common Multiple of 44724 and 44733?

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 44724 and 44733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44724 and 44733, than apply into the LCM equation.

GCF(44724,44733) = 3
LCM(44724,44733) = ( 44724 × 44733) / 3
LCM(44724,44733) = 2000638692 / 3
LCM(44724,44733) = 666879564

Least Common Multiple (LCM) of 44724 and 44733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44724 and 44733. First we will calculate the prime factors of 44724 and 44733.

Prime Factorization of 44724

Prime Factorization of 44733

Now multiplying the highest exponent prime factors to calculate the LCM of 44724 and 44733.

LCM(44724,44733) = 2² × 3¹ × 3727¹ × 13¹ × 31¹ × 37¹
LCM(44724,44733) = 666879564