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What is the Least Common Multiple of 18315 and 18335?

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 18315 and 18335 is 67161105.

LCM(18315,18335) = 67161105

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Least Common Multiple of 18315 and 18335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18315 and 18335, than apply into the LCM equation.

GCF(18315,18335) = 5
LCM(18315,18335) = ( 18315 × 18335) / 5
LCM(18315,18335) = 335805525 / 5
LCM(18315,18335) = 67161105

Least Common Multiple (LCM) of 18315 and 18335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18315 and 18335. First we will calculate the prime factors of 18315 and 18335.

Prime Factorization of 18315

Prime factors of 18315 are 3, 5, 11, 37. Prime factorization of 18315 in exponential form is:

18315 = 32 × 51 × 111 × 371

Prime Factorization of 18335

Prime factors of 18335 are 5, 19, 193. Prime factorization of 18335 in exponential form is:

18335 = 51 × 191 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 18315 and 18335.

LCM(18315,18335) = 32 × 51 × 111 × 371 × 191 × 1931
LCM(18315,18335) = 67161105