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What is the Least Common Multiple of 18350 and 18368?

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 18350 and 18368 is 168526400.

LCM(18350,18368) = 168526400

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Least Common Multiple of 18350 and 18368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18350 and 18368, than apply into the LCM equation.

GCF(18350,18368) = 2
LCM(18350,18368) = ( 18350 × 18368) / 2
LCM(18350,18368) = 337052800 / 2
LCM(18350,18368) = 168526400

Least Common Multiple (LCM) of 18350 and 18368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18350 and 18368. First we will calculate the prime factors of 18350 and 18368.

Prime Factorization of 18350

Prime factors of 18350 are 2, 5, 367. Prime factorization of 18350 in exponential form is:

18350 = 21 × 52 × 3671

Prime Factorization of 18368

Prime factors of 18368 are 2, 7, 41. Prime factorization of 18368 in exponential form is:

18368 = 26 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18350 and 18368.

LCM(18350,18368) = 26 × 52 × 3671 × 71 × 411
LCM(18350,18368) = 168526400