What is the Least Common Multiple of 44180 and 44185?

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 44180 and 44185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44180 and 44185, than apply into the LCM equation.

GCF(44180,44185) = 5
LCM(44180,44185) = ( 44180 × 44185) / 5
LCM(44180,44185) = 1952093300 / 5
LCM(44180,44185) = 390418660

Least Common Multiple (LCM) of 44180 and 44185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44180 and 44185. First we will calculate the prime factors of 44180 and 44185.

Prime Factorization of 44180

Prime Factorization of 44185

Now multiplying the highest exponent prime factors to calculate the LCM of 44180 and 44185.

LCM(44180,44185) = 2² × 5¹ × 47² × 8837¹
LCM(44180,44185) = 390418660