What is the Least Common Multiple of 58050 and 58061?

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 58050 and 58061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58050 and 58061, than apply into the LCM equation.

GCF(58050,58061) = 1
LCM(58050,58061) = ( 58050 × 58061) / 1
LCM(58050,58061) = 3370441050 / 1
LCM(58050,58061) = 3370441050

Least Common Multiple (LCM) of 58050 and 58061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58050 and 58061. First we will calculate the prime factors of 58050 and 58061.

Prime Factorization of 58050

Prime Factorization of 58061

Now multiplying the highest exponent prime factors to calculate the LCM of 58050 and 58061.

LCM(58050,58061) = 2¹ × 3³ × 5² × 43¹ × 58061¹
LCM(58050,58061) = 3370441050