GCF and LCM Calculator Logo

What is the Least Common Multiple of 13909 and 13922?

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 13909 and 13922 is 193641098.

LCM(13909,13922) = 193641098

LCM Calculator and
and

Least Common Multiple of 13909 and 13922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13909 and 13922, than apply into the LCM equation.

GCF(13909,13922) = 1
LCM(13909,13922) = ( 13909 × 13922) / 1
LCM(13909,13922) = 193641098 / 1
LCM(13909,13922) = 193641098

Least Common Multiple (LCM) of 13909 and 13922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13909 and 13922. First we will calculate the prime factors of 13909 and 13922.

Prime Factorization of 13909

Prime factors of 13909 are 7, 1987. Prime factorization of 13909 in exponential form is:

13909 = 71 × 19871

Prime Factorization of 13922

Prime factors of 13922 are 2, 6961. Prime factorization of 13922 in exponential form is:

13922 = 21 × 69611

Now multiplying the highest exponent prime factors to calculate the LCM of 13909 and 13922.

LCM(13909,13922) = 71 × 19871 × 21 × 69611
LCM(13909,13922) = 193641098