What is the Least Common Multiple of 58725 and 58745?

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 58725 and 58745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58725 and 58745, than apply into the LCM equation.

GCF(58725,58745) = 5
LCM(58725,58745) = ( 58725 × 58745) / 5
LCM(58725,58745) = 3449800125 / 5
LCM(58725,58745) = 689960025

Least Common Multiple (LCM) of 58725 and 58745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58725 and 58745. First we will calculate the prime factors of 58725 and 58745.

Prime Factorization of 58725

Prime Factorization of 58745

Now multiplying the highest exponent prime factors to calculate the LCM of 58725 and 58745.

LCM(58725,58745) = 3⁴ × 5² × 29¹ × 31¹ × 379¹
LCM(58725,58745) = 689960025