What is the Least Common Multiple of 59012 and 59024?

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 59012 and 59024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59012 and 59024, than apply into the LCM equation.

GCF(59012,59024) = 4
LCM(59012,59024) = ( 59012 × 59024) / 4
LCM(59012,59024) = 3483124288 / 4
LCM(59012,59024) = 870781072

Least Common Multiple (LCM) of 59012 and 59024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59012 and 59024. First we will calculate the prime factors of 59012 and 59024.

Prime Factorization of 59012

Prime Factorization of 59024

Now multiplying the highest exponent prime factors to calculate the LCM of 59012 and 59024.

LCM(59012,59024) = 2⁴ × 14753¹ × 7¹ × 17¹ × 31¹
LCM(59012,59024) = 870781072