What is the Least Common Multiple of 44600 and 44615?

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 44600 and 44615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44600 and 44615, than apply into the LCM equation.

GCF(44600,44615) = 5
LCM(44600,44615) = ( 44600 × 44615) / 5
LCM(44600,44615) = 1989829000 / 5
LCM(44600,44615) = 397965800

Least Common Multiple (LCM) of 44600 and 44615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44600 and 44615. First we will calculate the prime factors of 44600 and 44615.

Prime Factorization of 44600

Prime Factorization of 44615

Now multiplying the highest exponent prime factors to calculate the LCM of 44600 and 44615.

LCM(44600,44615) = 2³ × 5² × 223¹ × 8923¹
LCM(44600,44615) = 397965800