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What is the Least Common Multiple of 18351 and 18360?

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 18351 and 18360 is 37436040.

LCM(18351,18360) = 37436040

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Least Common Multiple of 18351 and 18360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18351 and 18360, than apply into the LCM equation.

GCF(18351,18360) = 9
LCM(18351,18360) = ( 18351 × 18360) / 9
LCM(18351,18360) = 336924360 / 9
LCM(18351,18360) = 37436040

Least Common Multiple (LCM) of 18351 and 18360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18351 and 18360. First we will calculate the prime factors of 18351 and 18360.

Prime Factorization of 18351

Prime factors of 18351 are 3, 2039. Prime factorization of 18351 in exponential form is:

18351 = 32 × 20391

Prime Factorization of 18360

Prime factors of 18360 are 2, 3, 5, 17. Prime factorization of 18360 in exponential form is:

18360 = 23 × 33 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 18351 and 18360.

LCM(18351,18360) = 33 × 20391 × 23 × 51 × 171
LCM(18351,18360) = 37436040