What is the Least Common Multiple of 60345 and 60359?

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 60345 and 60359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60345 and 60359, than apply into the LCM equation.

GCF(60345,60359) = 1
LCM(60345,60359) = ( 60345 × 60359) / 1
LCM(60345,60359) = 3642363855 / 1
LCM(60345,60359) = 3642363855

Least Common Multiple (LCM) of 60345 and 60359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60345 and 60359. First we will calculate the prime factors of 60345 and 60359.

Prime Factorization of 60345

Prime Factorization of 60359

Now multiplying the highest exponent prime factors to calculate the LCM of 60345 and 60359.

LCM(60345,60359) = 3⁴ × 5¹ × 149¹ × 13¹ × 4643¹
LCM(60345,60359) = 3642363855