What is the Least Common Multiple of 45150 and 45166?

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 45150 and 45166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45150 and 45166, than apply into the LCM equation.

GCF(45150,45166) = 2
LCM(45150,45166) = ( 45150 × 45166) / 2
LCM(45150,45166) = 2039244900 / 2
LCM(45150,45166) = 1019622450

Least Common Multiple (LCM) of 45150 and 45166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45150 and 45166. First we will calculate the prime factors of 45150 and 45166.

Prime Factorization of 45150

Prime Factorization of 45166

Now multiplying the highest exponent prime factors to calculate the LCM of 45150 and 45166.

LCM(45150,45166) = 2¹ × 3¹ × 5² × 7¹ × 43¹ × 11¹ × 2053¹
LCM(45150,45166) = 1019622450