GCF and LCM Calculator Logo

What is the Least Common Multiple of 13002 and 13018?

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 13002 and 13018 is 84630018.

LCM(13002,13018) = 84630018

LCM Calculator and
and

Least Common Multiple of 13002 and 13018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13002 and 13018, than apply into the LCM equation.

GCF(13002,13018) = 2
LCM(13002,13018) = ( 13002 × 13018) / 2
LCM(13002,13018) = 169260036 / 2
LCM(13002,13018) = 84630018

Least Common Multiple (LCM) of 13002 and 13018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13002 and 13018. First we will calculate the prime factors of 13002 and 13018.

Prime Factorization of 13002

Prime factors of 13002 are 2, 3, 11, 197. Prime factorization of 13002 in exponential form is:

13002 = 21 × 31 × 111 × 1971

Prime Factorization of 13018

Prime factors of 13018 are 2, 23, 283. Prime factorization of 13018 in exponential form is:

13018 = 21 × 231 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 13002 and 13018.

LCM(13002,13018) = 21 × 31 × 111 × 1971 × 231 × 2831
LCM(13002,13018) = 84630018