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What is the Least Common Multiple of 18397 and 18408?

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 18397 and 18408 is 338651976.

LCM(18397,18408) = 338651976

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Least Common Multiple of 18397 and 18408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18397 and 18408, than apply into the LCM equation.

GCF(18397,18408) = 1
LCM(18397,18408) = ( 18397 × 18408) / 1
LCM(18397,18408) = 338651976 / 1
LCM(18397,18408) = 338651976

Least Common Multiple (LCM) of 18397 and 18408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18397 and 18408. First we will calculate the prime factors of 18397 and 18408.

Prime Factorization of 18397

Prime factors of 18397 are 18397. Prime factorization of 18397 in exponential form is:

18397 = 183971

Prime Factorization of 18408

Prime factors of 18408 are 2, 3, 13, 59. Prime factorization of 18408 in exponential form is:

18408 = 23 × 31 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 18397 and 18408.

LCM(18397,18408) = 183971 × 23 × 31 × 131 × 591
LCM(18397,18408) = 338651976