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What is the Least Common Multiple of 18017 and 18036?

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 (LCM) of 18017 and 18036 is 324954612.

LCM(18017,18036) = 324954612

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Least Common Multiple of 18017 and 18036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18017 and 18036, than apply into the LCM equation.

GCF(18017,18036) = 1
LCM(18017,18036) = ( 18017 × 18036) / 1
LCM(18017,18036) = 324954612 / 1
LCM(18017,18036) = 324954612

Least Common Multiple (LCM) of 18017 and 18036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18017 and 18036. First we will calculate the prime factors of 18017 and 18036.

Prime Factorization of 18017

Prime factors of 18017 are 43, 419. Prime factorization of 18017 in exponential form is:

18017 = 431 × 4191

Prime Factorization of 18036

Prime factors of 18036 are 2, 3, 167. Prime factorization of 18036 in exponential form is:

18036 = 22 × 33 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 18017 and 18036.

LCM(18017,18036) = 431 × 4191 × 22 × 33 × 1671
LCM(18017,18036) = 324954612