What is the Least Common Multiple of 59418 and 59433?

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 59418 and 59433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59418 and 59433, than apply into the LCM equation.

GCF(59418,59433) = 3
LCM(59418,59433) = ( 59418 × 59433) / 3
LCM(59418,59433) = 3531389994 / 3
LCM(59418,59433) = 1177129998

Least Common Multiple (LCM) of 59418 and 59433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59418 and 59433. First we will calculate the prime factors of 59418 and 59433.

Prime Factorization of 59418

Prime Factorization of 59433

Now multiplying the highest exponent prime factors to calculate the LCM of 59418 and 59433.

LCM(59418,59433) = 2¹ × 3² × 3301¹ × 11¹ × 1801¹
LCM(59418,59433) = 1177129998