What is the Least Common Multiple of 59571 and 59589?

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 59571 and 59589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59571 and 59589, than apply into the LCM equation.

GCF(59571,59589) = 9
LCM(59571,59589) = ( 59571 × 59589) / 9
LCM(59571,59589) = 3549776319 / 9
LCM(59571,59589) = 394419591

Least Common Multiple (LCM) of 59571 and 59589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59571 and 59589. First we will calculate the prime factors of 59571 and 59589.

Prime Factorization of 59571

Prime Factorization of 59589

Now multiplying the highest exponent prime factors to calculate the LCM of 59571 and 59589.

LCM(59571,59589) = 3³ × 6619¹ × 2207¹
LCM(59571,59589) = 394419591