What is the Least Common Multiple of 44708 and 44718?

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 44708 and 44718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44708 and 44718, than apply into the LCM equation.

GCF(44708,44718) = 2
LCM(44708,44718) = ( 44708 × 44718) / 2
LCM(44708,44718) = 1999252344 / 2
LCM(44708,44718) = 999626172

Least Common Multiple (LCM) of 44708 and 44718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44708 and 44718. First we will calculate the prime factors of 44708 and 44718.

Prime Factorization of 44708

Prime Factorization of 44718

Now multiplying the highest exponent prime factors to calculate the LCM of 44708 and 44718.

LCM(44708,44718) = 2² × 11177¹ × 3¹ × 29¹ × 257¹
LCM(44708,44718) = 999626172