What is the Least Common Multiple of 44174 and 44180?

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 44174 and 44180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44174 and 44180, than apply into the LCM equation.

GCF(44174,44180) = 2
LCM(44174,44180) = ( 44174 × 44180) / 2
LCM(44174,44180) = 1951607320 / 2
LCM(44174,44180) = 975803660

Least Common Multiple (LCM) of 44174 and 44180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44174 and 44180. First we will calculate the prime factors of 44174 and 44180.

Prime Factorization of 44174

Prime Factorization of 44180

Now multiplying the highest exponent prime factors to calculate the LCM of 44174 and 44180.

LCM(44174,44180) = 2² × 13¹ × 1699¹ × 5¹ × 47²
LCM(44174,44180) = 975803660