What is the Least Common Multiple of 58680 and 58694?

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 58680 and 58694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58680 and 58694, than apply into the LCM equation.

GCF(58680,58694) = 2
LCM(58680,58694) = ( 58680 × 58694) / 2
LCM(58680,58694) = 3444163920 / 2
LCM(58680,58694) = 1722081960

Least Common Multiple (LCM) of 58680 and 58694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58680 and 58694. First we will calculate the prime factors of 58680 and 58694.

Prime Factorization of 58680

Prime Factorization of 58694

Now multiplying the highest exponent prime factors to calculate the LCM of 58680 and 58694.

LCM(58680,58694) = 2³ × 3² × 5¹ × 163¹ × 29347¹
LCM(58680,58694) = 1722081960