What is the Least Common Multiple of 59931 and 59936?

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 59931 and 59936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59931 and 59936, than apply into the LCM equation.

GCF(59931,59936) = 1
LCM(59931,59936) = ( 59931 × 59936) / 1
LCM(59931,59936) = 3592024416 / 1
LCM(59931,59936) = 3592024416

Least Common Multiple (LCM) of 59931 and 59936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59931 and 59936. First we will calculate the prime factors of 59931 and 59936.

Prime Factorization of 59931

Prime Factorization of 59936

Now multiplying the highest exponent prime factors to calculate the LCM of 59931 and 59936.

LCM(59931,59936) = 3² × 6659¹ × 2⁵ × 1873¹
LCM(59931,59936) = 3592024416