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What is the Least Common Multiple of 17988 and 18007?

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 17988 and 18007 is 323909916.

LCM(17988,18007) = 323909916

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Least Common Multiple of 17988 and 18007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17988 and 18007, than apply into the LCM equation.

GCF(17988,18007) = 1
LCM(17988,18007) = ( 17988 × 18007) / 1
LCM(17988,18007) = 323909916 / 1
LCM(17988,18007) = 323909916

Least Common Multiple (LCM) of 17988 and 18007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17988 and 18007. First we will calculate the prime factors of 17988 and 18007.

Prime Factorization of 17988

Prime factors of 17988 are 2, 3, 1499. Prime factorization of 17988 in exponential form is:

17988 = 22 × 31 × 14991

Prime Factorization of 18007

Prime factors of 18007 are 11, 1637. Prime factorization of 18007 in exponential form is:

18007 = 111 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 17988 and 18007.

LCM(17988,18007) = 22 × 31 × 14991 × 111 × 16371
LCM(17988,18007) = 323909916