What is the Least Common Multiple of 44724 and 44742?

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 44742 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 44742, than apply into the LCM equation.

GCF(44724,44742) = 6
LCM(44724,44742) = ( 44724 × 44742) / 6
LCM(44724,44742) = 2001041208 / 6
LCM(44724,44742) = 333506868

Least Common Multiple (LCM) of 44724 and 44742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44724 and 44742. First we will calculate the prime factors of 44724 and 44742.

Prime Factorization of 44724

Prime Factorization of 44742

Now multiplying the highest exponent prime factors to calculate the LCM of 44724 and 44742.

LCM(44724,44742) = 2² × 3¹ × 3727¹ × 7457¹
LCM(44724,44742) = 333506868