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What is the Least Common Multiple of 18366 and 18377?

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 18366 and 18377 is 337511982.

LCM(18366,18377) = 337511982

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Least Common Multiple of 18366 and 18377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18366 and 18377, than apply into the LCM equation.

GCF(18366,18377) = 1
LCM(18366,18377) = ( 18366 × 18377) / 1
LCM(18366,18377) = 337511982 / 1
LCM(18366,18377) = 337511982

Least Common Multiple (LCM) of 18366 and 18377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18366 and 18377. First we will calculate the prime factors of 18366 and 18377.

Prime Factorization of 18366

Prime factors of 18366 are 2, 3, 3061. Prime factorization of 18366 in exponential form is:

18366 = 21 × 31 × 30611

Prime Factorization of 18377

Prime factors of 18377 are 17, 23, 47. Prime factorization of 18377 in exponential form is:

18377 = 171 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 18366 and 18377.

LCM(18366,18377) = 21 × 31 × 30611 × 171 × 231 × 471
LCM(18366,18377) = 337511982