What is the Least Common Multiple of 59872 and 59889?

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 59872 and 59889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59872 and 59889, than apply into the LCM equation.

GCF(59872,59889) = 1
LCM(59872,59889) = ( 59872 × 59889) / 1
LCM(59872,59889) = 3585674208 / 1
LCM(59872,59889) = 3585674208

Least Common Multiple (LCM) of 59872 and 59889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59872 and 59889. First we will calculate the prime factors of 59872 and 59889.

Prime Factorization of 59872

Prime Factorization of 59889

Now multiplying the highest exponent prime factors to calculate the LCM of 59872 and 59889.

LCM(59872,59889) = 2⁵ × 1871¹ × 3¹ × 19963¹
LCM(59872,59889) = 3585674208