What is the Least Common Multiple of 44115 and 44130?

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 44115 and 44130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44115 and 44130, than apply into the LCM equation.

GCF(44115,44130) = 15
LCM(44115,44130) = ( 44115 × 44130) / 15
LCM(44115,44130) = 1946794950 / 15
LCM(44115,44130) = 129786330

Least Common Multiple (LCM) of 44115 and 44130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44115 and 44130. First we will calculate the prime factors of 44115 and 44130.

Prime Factorization of 44115

Prime Factorization of 44130

Now multiplying the highest exponent prime factors to calculate the LCM of 44115 and 44130.

LCM(44115,44130) = 3¹ × 5¹ × 17¹ × 173¹ × 2¹ × 1471¹
LCM(44115,44130) = 129786330