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What is the Least Common Multiple of 15993 and 15999?

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 15993 and 15999 is 85290669.

LCM(15993,15999) = 85290669

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Least Common Multiple of 15993 and 15999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15993 and 15999, than apply into the LCM equation.

GCF(15993,15999) = 3
LCM(15993,15999) = ( 15993 × 15999) / 3
LCM(15993,15999) = 255872007 / 3
LCM(15993,15999) = 85290669

Least Common Multiple (LCM) of 15993 and 15999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15993 and 15999. First we will calculate the prime factors of 15993 and 15999.

Prime Factorization of 15993

Prime factors of 15993 are 3, 1777. Prime factorization of 15993 in exponential form is:

15993 = 32 × 17771

Prime Factorization of 15999

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

15999 = 31 × 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 15993 and 15999.

LCM(15993,15999) = 32 × 17771 × 53331
LCM(15993,15999) = 85290669