What is the Least Common Multiple of 58740 and 58750?

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 58750 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 58750, than apply into the LCM equation.

GCF(58740,58750) = 10
LCM(58740,58750) = ( 58740 × 58750) / 10
LCM(58740,58750) = 3450975000 / 10
LCM(58740,58750) = 345097500

Least Common Multiple (LCM) of 58740 and 58750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58740 and 58750. First we will calculate the prime factors of 58740 and 58750.

Prime Factorization of 58740

Prime Factorization of 58750

Now multiplying the highest exponent prime factors to calculate the LCM of 58740 and 58750.

LCM(58740,58750) = 2² × 3¹ × 5⁴ × 11¹ × 89¹ × 47¹
LCM(58740,58750) = 345097500