What is the Least Common Multiple of 58695 and 58700?

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 58700 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 58700, than apply into the LCM equation.

GCF(58695,58700) = 5
LCM(58695,58700) = ( 58695 × 58700) / 5
LCM(58695,58700) = 3445396500 / 5
LCM(58695,58700) = 689079300

Least Common Multiple (LCM) of 58695 and 58700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58695 and 58700. First we will calculate the prime factors of 58695 and 58700.

Prime Factorization of 58695

Prime Factorization of 58700

Now multiplying the highest exponent prime factors to calculate the LCM of 58695 and 58700.

LCM(58695,58700) = 3¹ × 5² × 7¹ × 13¹ × 43¹ × 2² × 587¹
LCM(58695,58700) = 689079300