What is the Least Common Multiple of 59875 and 59887?

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 59875 and 59887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59875 and 59887, than apply into the LCM equation.

GCF(59875,59887) = 1
LCM(59875,59887) = ( 59875 × 59887) / 1
LCM(59875,59887) = 3585734125 / 1
LCM(59875,59887) = 3585734125

Least Common Multiple (LCM) of 59875 and 59887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59875 and 59887. First we will calculate the prime factors of 59875 and 59887.

Prime Factorization of 59875

Prime Factorization of 59887

Now multiplying the highest exponent prime factors to calculate the LCM of 59875 and 59887.

LCM(59875,59887) = 5³ × 479¹ × 59887¹
LCM(59875,59887) = 3585734125