What is the Least Common Multiple of 58925 and 58935?

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 58925 and 58935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58925 and 58935, than apply into the LCM equation.

GCF(58925,58935) = 5
LCM(58925,58935) = ( 58925 × 58935) / 5
LCM(58925,58935) = 3472744875 / 5
LCM(58925,58935) = 694548975

Least Common Multiple (LCM) of 58925 and 58935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58925 and 58935. First we will calculate the prime factors of 58925 and 58935.

Prime Factorization of 58925

Prime Factorization of 58935

Now multiplying the highest exponent prime factors to calculate the LCM of 58925 and 58935.

LCM(58925,58935) = 5² × 2357¹ × 3¹ × 3929¹
LCM(58925,58935) = 694548975