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What is the Least Common Multiple of 18359 and 18372?

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 18359 and 18372 is 337291548.

LCM(18359,18372) = 337291548

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Least Common Multiple of 18359 and 18372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18359 and 18372, than apply into the LCM equation.

GCF(18359,18372) = 1
LCM(18359,18372) = ( 18359 × 18372) / 1
LCM(18359,18372) = 337291548 / 1
LCM(18359,18372) = 337291548

Least Common Multiple (LCM) of 18359 and 18372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18359 and 18372. First we will calculate the prime factors of 18359 and 18372.

Prime Factorization of 18359

Prime factors of 18359 are 11, 1669. Prime factorization of 18359 in exponential form is:

18359 = 111 × 16691

Prime Factorization of 18372

Prime factors of 18372 are 2, 3, 1531. Prime factorization of 18372 in exponential form is:

18372 = 22 × 31 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 18359 and 18372.

LCM(18359,18372) = 111 × 16691 × 22 × 31 × 15311
LCM(18359,18372) = 337291548