What is the Least Common Multiple of 58125 and 58145?

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 58125 and 58145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58125 and 58145, than apply into the LCM equation.

GCF(58125,58145) = 5
LCM(58125,58145) = ( 58125 × 58145) / 5
LCM(58125,58145) = 3379678125 / 5
LCM(58125,58145) = 675935625

Least Common Multiple (LCM) of 58125 and 58145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58125 and 58145. First we will calculate the prime factors of 58125 and 58145.

Prime Factorization of 58125

Prime Factorization of 58145

Now multiplying the highest exponent prime factors to calculate the LCM of 58125 and 58145.

LCM(58125,58145) = 3¹ × 5⁴ × 31¹ × 29¹ × 401¹
LCM(58125,58145) = 675935625