What is the Least Common Multiple of 59132 and 59150?

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 59132 and 59150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59132 and 59150, than apply into the LCM equation.

GCF(59132,59150) = 2
LCM(59132,59150) = ( 59132 × 59150) / 2
LCM(59132,59150) = 3497657800 / 2
LCM(59132,59150) = 1748828900

Least Common Multiple (LCM) of 59132 and 59150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59132 and 59150. First we will calculate the prime factors of 59132 and 59150.

Prime Factorization of 59132

Prime Factorization of 59150

Now multiplying the highest exponent prime factors to calculate the LCM of 59132 and 59150.

LCM(59132,59150) = 2² × 14783¹ × 5² × 7¹ × 13²
LCM(59132,59150) = 1748828900