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What is the Least Common Multiple of 15993 and 16004?

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 16004 is 255951972.

LCM(15993,16004) = 255951972

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Least Common Multiple of 15993 and 16004 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 16004, than apply into the LCM equation.

GCF(15993,16004) = 1
LCM(15993,16004) = ( 15993 × 16004) / 1
LCM(15993,16004) = 255951972 / 1
LCM(15993,16004) = 255951972

Least Common Multiple (LCM) of 15993 and 16004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15993 and 16004. First we will calculate the prime factors of 15993 and 16004.

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 16004

Prime factors of 16004 are 2, 4001. Prime factorization of 16004 in exponential form is:

16004 = 22 × 40011

Now multiplying the highest exponent prime factors to calculate the LCM of 15993 and 16004.

LCM(15993,16004) = 32 × 17771 × 22 × 40011
LCM(15993,16004) = 255951972