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What is the Least Common Multiple of 18372 and 18384?

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 18372 and 18384 is 28145904.

LCM(18372,18384) = 28145904

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Least Common Multiple of 18372 and 18384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18372 and 18384, than apply into the LCM equation.

GCF(18372,18384) = 12
LCM(18372,18384) = ( 18372 × 18384) / 12
LCM(18372,18384) = 337750848 / 12
LCM(18372,18384) = 28145904

Least Common Multiple (LCM) of 18372 and 18384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18372 and 18384. First we will calculate the prime factors of 18372 and 18384.

Prime Factorization of 18372

Prime factors of 18372 are 2, 3, 1531. Prime factorization of 18372 in exponential form is:

18372 = 22 × 31 × 15311

Prime Factorization of 18384

Prime factors of 18384 are 2, 3, 383. Prime factorization of 18384 in exponential form is:

18384 = 24 × 31 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 18372 and 18384.

LCM(18372,18384) = 24 × 31 × 15311 × 3831
LCM(18372,18384) = 28145904