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What is the Least Common Multiple of 38999 and 39018?

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 38999 and 39018 is 1521662982.

LCM(38999,39018) = 1521662982

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Least Common Multiple of 38999 and 39018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38999 and 39018, than apply into the LCM equation.

GCF(38999,39018) = 1
LCM(38999,39018) = ( 38999 × 39018) / 1
LCM(38999,39018) = 1521662982 / 1
LCM(38999,39018) = 1521662982

Least Common Multiple (LCM) of 38999 and 39018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38999 and 39018. First we will calculate the prime factors of 38999 and 39018.

Prime Factorization of 38999

Prime factors of 38999 are 59, 661. Prime factorization of 38999 in exponential form is:

38999 = 591 × 6611

Prime Factorization of 39018

Prime factors of 39018 are 2, 3, 7, 929. Prime factorization of 39018 in exponential form is:

39018 = 21 × 31 × 71 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 38999 and 39018.

LCM(38999,39018) = 591 × 6611 × 21 × 31 × 71 × 9291
LCM(38999,39018) = 1521662982