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What is the Least Common Multiple of 18390 and 18399?

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 18390 and 18399 is 112785870.

LCM(18390,18399) = 112785870

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Least Common Multiple of 18390 and 18399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18390 and 18399, than apply into the LCM equation.

GCF(18390,18399) = 3
LCM(18390,18399) = ( 18390 × 18399) / 3
LCM(18390,18399) = 338357610 / 3
LCM(18390,18399) = 112785870

Least Common Multiple (LCM) of 18390 and 18399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18390 and 18399. First we will calculate the prime factors of 18390 and 18399.

Prime Factorization of 18390

Prime factors of 18390 are 2, 3, 5, 613. Prime factorization of 18390 in exponential form is:

18390 = 21 × 31 × 51 × 6131

Prime Factorization of 18399

Prime factors of 18399 are 3, 6133. Prime factorization of 18399 in exponential form is:

18399 = 31 × 61331

Now multiplying the highest exponent prime factors to calculate the LCM of 18390 and 18399.

LCM(18390,18399) = 21 × 31 × 51 × 6131 × 61331
LCM(18390,18399) = 112785870