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What is the Least Common Multiple of 18372 and 18381?

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 18381 is 112565244.

LCM(18372,18381) = 112565244

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Least Common Multiple of 18372 and 18381 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 18381, than apply into the LCM equation.

GCF(18372,18381) = 3
LCM(18372,18381) = ( 18372 × 18381) / 3
LCM(18372,18381) = 337695732 / 3
LCM(18372,18381) = 112565244

Least Common Multiple (LCM) of 18372 and 18381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18372 and 18381. First we will calculate the prime factors of 18372 and 18381.

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 18381

Prime factors of 18381 are 3, 11, 557. Prime factorization of 18381 in exponential form is:

18381 = 31 × 111 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 18372 and 18381.

LCM(18372,18381) = 22 × 31 × 15311 × 111 × 5571
LCM(18372,18381) = 112565244