GCF and LCM Calculator Logo

What is the Least Common Multiple of 14007 and 14018?

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 14007 and 14018 is 196350126.

LCM(14007,14018) = 196350126

LCM Calculator and
and

Least Common Multiple of 14007 and 14018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14007 and 14018, than apply into the LCM equation.

GCF(14007,14018) = 1
LCM(14007,14018) = ( 14007 × 14018) / 1
LCM(14007,14018) = 196350126 / 1
LCM(14007,14018) = 196350126

Least Common Multiple (LCM) of 14007 and 14018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14007 and 14018. First we will calculate the prime factors of 14007 and 14018.

Prime Factorization of 14007

Prime factors of 14007 are 3, 7, 23, 29. Prime factorization of 14007 in exponential form is:

14007 = 31 × 71 × 231 × 291

Prime Factorization of 14018

Prime factors of 14018 are 2, 43, 163. Prime factorization of 14018 in exponential form is:

14018 = 21 × 431 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 14007 and 14018.

LCM(14007,14018) = 31 × 71 × 231 × 291 × 21 × 431 × 1631
LCM(14007,14018) = 196350126