What is the Least Common Multiple of 59022 and 59036?

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 59022 and 59036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59022 and 59036, than apply into the LCM equation.

GCF(59022,59036) = 2
LCM(59022,59036) = ( 59022 × 59036) / 2
LCM(59022,59036) = 3484422792 / 2
LCM(59022,59036) = 1742211396

Least Common Multiple (LCM) of 59022 and 59036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59022 and 59036. First we will calculate the prime factors of 59022 and 59036.

Prime Factorization of 59022

Prime Factorization of 59036

Now multiplying the highest exponent prime factors to calculate the LCM of 59022 and 59036.

LCM(59022,59036) = 2² × 3³ × 1093¹ × 14759¹
LCM(59022,59036) = 1742211396