What is the Least Common Multiple of 36018 and 36034?

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 36018 and 36034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36018 and 36034, than apply into the LCM equation.

GCF(36018,36034) = 2
LCM(36018,36034) = ( 36018 × 36034) / 2
LCM(36018,36034) = 1297872612 / 2
LCM(36018,36034) = 648936306

Least Common Multiple (LCM) of 36018 and 36034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36018 and 36034. First we will calculate the prime factors of 36018 and 36034.

Prime Factorization of 36018

Prime Factorization of 36034

Now multiplying the highest exponent prime factors to calculate the LCM of 36018 and 36034.

LCM(36018,36034) = 2¹ × 3³ × 23¹ × 29¹ × 43¹ × 419¹
LCM(36018,36034) = 648936306