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What is the Least Common Multiple of 18163 and 18177?

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 18163 and 18177 is 330148851.

LCM(18163,18177) = 330148851

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Least Common Multiple of 18163 and 18177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18163 and 18177, than apply into the LCM equation.

GCF(18163,18177) = 1
LCM(18163,18177) = ( 18163 × 18177) / 1
LCM(18163,18177) = 330148851 / 1
LCM(18163,18177) = 330148851

Least Common Multiple (LCM) of 18163 and 18177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18163 and 18177. First we will calculate the prime factors of 18163 and 18177.

Prime Factorization of 18163

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

18163 = 411 × 4431

Prime Factorization of 18177

Prime factors of 18177 are 3, 73, 83. Prime factorization of 18177 in exponential form is:

18177 = 31 × 731 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 18163 and 18177.

LCM(18163,18177) = 411 × 4431 × 31 × 731 × 831
LCM(18163,18177) = 330148851