What is the Least Common Multiple of 59009 and 59020?

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 59009 and 59020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59009 and 59020, than apply into the LCM equation.

GCF(59009,59020) = 1
LCM(59009,59020) = ( 59009 × 59020) / 1
LCM(59009,59020) = 3482711180 / 1
LCM(59009,59020) = 3482711180

Least Common Multiple (LCM) of 59009 and 59020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59009 and 59020. First we will calculate the prime factors of 59009 and 59020.

Prime Factorization of 59009

Prime Factorization of 59020

Now multiplying the highest exponent prime factors to calculate the LCM of 59009 and 59020.

LCM(59009,59020) = 59009¹ × 2² × 5¹ × 13¹ × 227¹
LCM(59009,59020) = 3482711180