GCF and LCM Calculator Logo

What is the Least Common Multiple of 66003 and 66013?

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 66003 and 66013 is 4357056039.

LCM(66003,66013) = 4357056039

LCM Calculator and
and

Least Common Multiple of 66003 and 66013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66003 and 66013, than apply into the LCM equation.

GCF(66003,66013) = 1
LCM(66003,66013) = ( 66003 × 66013) / 1
LCM(66003,66013) = 4357056039 / 1
LCM(66003,66013) = 4357056039

Least Common Multiple (LCM) of 66003 and 66013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66003 and 66013. First we will calculate the prime factors of 66003 and 66013.

Prime Factorization of 66003

Prime factors of 66003 are 3, 7, 449. Prime factorization of 66003 in exponential form is:

66003 = 31 × 72 × 4491

Prime Factorization of 66013

Prime factors of 66013 are 251, 263. Prime factorization of 66013 in exponential form is:

66013 = 2511 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 66003 and 66013.

LCM(66003,66013) = 31 × 72 × 4491 × 2511 × 2631
LCM(66003,66013) = 4357056039