What is the Least Common Multiple of 60358 and 60378?

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 60358 and 60378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60358 and 60378, than apply into the LCM equation.

GCF(60358,60378) = 2
LCM(60358,60378) = ( 60358 × 60378) / 2
LCM(60358,60378) = 3644295324 / 2
LCM(60358,60378) = 1822147662

Least Common Multiple (LCM) of 60358 and 60378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60358 and 60378. First we will calculate the prime factors of 60358 and 60378.

Prime Factorization of 60358

Prime Factorization of 60378

Now multiplying the highest exponent prime factors to calculate the LCM of 60358 and 60378.

LCM(60358,60378) = 2¹ × 103¹ × 293¹ × 3¹ × 29¹ × 347¹
LCM(60358,60378) = 1822147662