What is the Least Common Multiple of 44180 and 44197?

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 44197 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 44197, than apply into the LCM equation.

GCF(44180,44197) = 1
LCM(44180,44197) = ( 44180 × 44197) / 1
LCM(44180,44197) = 1952623460 / 1
LCM(44180,44197) = 1952623460

Least Common Multiple (LCM) of 44180 and 44197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44180 and 44197. First we will calculate the prime factors of 44180 and 44197.

Prime Factorization of 44180

Prime Factorization of 44197

Now multiplying the highest exponent prime factors to calculate the LCM of 44180 and 44197.

LCM(44180,44197) = 2² × 5¹ × 47² × 193¹ × 229¹
LCM(44180,44197) = 1952623460