What is the Least Common Multiple of 58695 and 58715?

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 58695 and 58715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58695 and 58715, than apply into the LCM equation.

GCF(58695,58715) = 5
LCM(58695,58715) = ( 58695 × 58715) / 5
LCM(58695,58715) = 3446276925 / 5
LCM(58695,58715) = 689255385

Least Common Multiple (LCM) of 58695 and 58715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58695 and 58715. First we will calculate the prime factors of 58695 and 58715.

Prime Factorization of 58695

Prime Factorization of 58715

Now multiplying the highest exponent prime factors to calculate the LCM of 58695 and 58715.

LCM(58695,58715) = 3¹ × 5¹ × 7¹ × 13¹ × 43¹ × 11743¹
LCM(58695,58715) = 689255385