GCF and LCM Calculator Logo

What is the Least Common Multiple of 16003 and 16011?

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 16003 and 16011 is 256224033.

LCM(16003,16011) = 256224033

LCM Calculator and
and

Least Common Multiple of 16003 and 16011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16003 and 16011, than apply into the LCM equation.

GCF(16003,16011) = 1
LCM(16003,16011) = ( 16003 × 16011) / 1
LCM(16003,16011) = 256224033 / 1
LCM(16003,16011) = 256224033

Least Common Multiple (LCM) of 16003 and 16011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16003 and 16011. First we will calculate the prime factors of 16003 and 16011.

Prime Factorization of 16003

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

16003 = 131 × 12311

Prime Factorization of 16011

Prime factors of 16011 are 3, 593. Prime factorization of 16011 in exponential form is:

16011 = 33 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 16003 and 16011.

LCM(16003,16011) = 131 × 12311 × 33 × 5931
LCM(16003,16011) = 256224033