What is the Least Common Multiple of 44739 and 44748?

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 44739 and 44748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44739 and 44748, than apply into the LCM equation.

GCF(44739,44748) = 9
LCM(44739,44748) = ( 44739 × 44748) / 9
LCM(44739,44748) = 2001980772 / 9
LCM(44739,44748) = 222442308

Least Common Multiple (LCM) of 44739 and 44748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44739 and 44748. First we will calculate the prime factors of 44739 and 44748.

Prime Factorization of 44739

Prime Factorization of 44748

Now multiplying the highest exponent prime factors to calculate the LCM of 44739 and 44748.

LCM(44739,44748) = 3³ × 1657¹ × 2² × 11¹ × 113¹
LCM(44739,44748) = 222442308