What is the Least Common Multiple of 58740 and 58755?

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 58740 and 58755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58740 and 58755, than apply into the LCM equation.

GCF(58740,58755) = 15
LCM(58740,58755) = ( 58740 × 58755) / 15
LCM(58740,58755) = 3451268700 / 15
LCM(58740,58755) = 230084580

Least Common Multiple (LCM) of 58740 and 58755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58740 and 58755. First we will calculate the prime factors of 58740 and 58755.

Prime Factorization of 58740

Prime Factorization of 58755

Now multiplying the highest exponent prime factors to calculate the LCM of 58740 and 58755.

LCM(58740,58755) = 2² × 3¹ × 5¹ × 11¹ × 89¹ × 3917¹
LCM(58740,58755) = 230084580