What is the Least Common Multiple of 36342 and 36359?

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 36342 and 36359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36342 and 36359, than apply into the LCM equation.

GCF(36342,36359) = 1
LCM(36342,36359) = ( 36342 × 36359) / 1
LCM(36342,36359) = 1321358778 / 1
LCM(36342,36359) = 1321358778

Least Common Multiple (LCM) of 36342 and 36359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36342 and 36359. First we will calculate the prime factors of 36342 and 36359.

Prime Factorization of 36342

Prime Factorization of 36359

Now multiplying the highest exponent prime factors to calculate the LCM of 36342 and 36359.

LCM(36342,36359) = 2¹ × 3³ × 673¹ × 103¹ × 353¹
LCM(36342,36359) = 1321358778