GCF and LCM Calculator Logo

What is the Least Common Multiple of 8003 and 8013?

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 8003 and 8013 is 64128039.

LCM(8003,8013) = 64128039

LCM Calculator and
and

Least Common Multiple of 8003 and 8013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8003 and 8013, than apply into the LCM equation.

GCF(8003,8013) = 1
LCM(8003,8013) = ( 8003 × 8013) / 1
LCM(8003,8013) = 64128039 / 1
LCM(8003,8013) = 64128039

Least Common Multiple (LCM) of 8003 and 8013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8003 and 8013. First we will calculate the prime factors of 8003 and 8013.

Prime Factorization of 8003

Prime factors of 8003 are 53, 151. Prime factorization of 8003 in exponential form is:

8003 = 531 × 1511

Prime Factorization of 8013

Prime factors of 8013 are 3, 2671. Prime factorization of 8013 in exponential form is:

8013 = 31 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 8003 and 8013.

LCM(8003,8013) = 531 × 1511 × 31 × 26711
LCM(8003,8013) = 64128039