What is the Least Common Multiple of 58734 and 58740?

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 58734 and 58740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58734 and 58740, than apply into the LCM equation.

GCF(58734,58740) = 6
LCM(58734,58740) = ( 58734 × 58740) / 6
LCM(58734,58740) = 3450035160 / 6
LCM(58734,58740) = 575005860

Least Common Multiple (LCM) of 58734 and 58740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58734 and 58740. First we will calculate the prime factors of 58734 and 58740.

Prime Factorization of 58734

Prime Factorization of 58740

Now multiplying the highest exponent prime factors to calculate the LCM of 58734 and 58740.

LCM(58734,58740) = 2² × 3² × 13¹ × 251¹ × 5¹ × 11¹ × 89¹
LCM(58734,58740) = 575005860