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What is the Least Common Multiple of 18156 and 18163?

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 18156 and 18163 is 329767428.

LCM(18156,18163) = 329767428

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Least Common Multiple of 18156 and 18163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18156 and 18163, than apply into the LCM equation.

GCF(18156,18163) = 1
LCM(18156,18163) = ( 18156 × 18163) / 1
LCM(18156,18163) = 329767428 / 1
LCM(18156,18163) = 329767428

Least Common Multiple (LCM) of 18156 and 18163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18156 and 18163. First we will calculate the prime factors of 18156 and 18163.

Prime Factorization of 18156

Prime factors of 18156 are 2, 3, 17, 89. Prime factorization of 18156 in exponential form is:

18156 = 22 × 31 × 171 × 891

Prime Factorization of 18163

Prime factors of 18163 are 41, 443. Prime factorization of 18163 in exponential form is:

18163 = 411 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 18156 and 18163.

LCM(18156,18163) = 22 × 31 × 171 × 891 × 411 × 4431
LCM(18156,18163) = 329767428