What is the Least Common Multiple of 59875 and 59893?

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 59893 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 59893, than apply into the LCM equation.

GCF(59875,59893) = 1
LCM(59875,59893) = ( 59875 × 59893) / 1
LCM(59875,59893) = 3586093375 / 1
LCM(59875,59893) = 3586093375

Least Common Multiple (LCM) of 59875 and 59893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59875 and 59893. First we will calculate the prime factors of 59875 and 59893.

Prime Factorization of 59875

Prime Factorization of 59893

Now multiplying the highest exponent prime factors to calculate the LCM of 59875 and 59893.

LCM(59875,59893) = 5³ × 479¹ × 101¹ × 593¹
LCM(59875,59893) = 3586093375