GCF and LCM Calculator Logo

What is the Least Common Multiple of 15996 and 16003?

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 15996 and 16003 is 255983988.

LCM(15996,16003) = 255983988

LCM Calculator and
and

Least Common Multiple of 15996 and 16003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15996 and 16003, than apply into the LCM equation.

GCF(15996,16003) = 1
LCM(15996,16003) = ( 15996 × 16003) / 1
LCM(15996,16003) = 255983988 / 1
LCM(15996,16003) = 255983988

Least Common Multiple (LCM) of 15996 and 16003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15996 and 16003. First we will calculate the prime factors of 15996 and 16003.

Prime Factorization of 15996

Prime factors of 15996 are 2, 3, 31, 43. Prime factorization of 15996 in exponential form is:

15996 = 22 × 31 × 311 × 431

Prime Factorization of 16003

Prime factors of 16003 are 13, 1231. Prime factorization of 16003 in exponential form is:

16003 = 131 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 15996 and 16003.

LCM(15996,16003) = 22 × 31 × 311 × 431 × 131 × 12311
LCM(15996,16003) = 255983988