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What is the Least Common Multiple of 15999 and 16008?

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 15999 and 16008 is 85370664.

LCM(15999,16008) = 85370664

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Least Common Multiple of 15999 and 16008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15999 and 16008, than apply into the LCM equation.

GCF(15999,16008) = 3
LCM(15999,16008) = ( 15999 × 16008) / 3
LCM(15999,16008) = 256111992 / 3
LCM(15999,16008) = 85370664

Least Common Multiple (LCM) of 15999 and 16008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15999 and 16008. First we will calculate the prime factors of 15999 and 16008.

Prime Factorization of 15999

Prime factors of 15999 are 3, 5333. Prime factorization of 15999 in exponential form is:

15999 = 31 × 53331

Prime Factorization of 16008

Prime factors of 16008 are 2, 3, 23, 29. Prime factorization of 16008 in exponential form is:

16008 = 23 × 31 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 15999 and 16008.

LCM(15999,16008) = 31 × 53331 × 23 × 231 × 291
LCM(15999,16008) = 85370664