GCF and LCM Calculator Logo

What is the Least Common Multiple of 13922 and 13928?

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 13922 and 13928 is 96952808.

LCM(13922,13928) = 96952808

LCM Calculator and
and

Least Common Multiple of 13922 and 13928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13922 and 13928, than apply into the LCM equation.

GCF(13922,13928) = 2
LCM(13922,13928) = ( 13922 × 13928) / 2
LCM(13922,13928) = 193905616 / 2
LCM(13922,13928) = 96952808

Least Common Multiple (LCM) of 13922 and 13928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13922 and 13928. First we will calculate the prime factors of 13922 and 13928.

Prime Factorization of 13922

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

13922 = 21 × 69611

Prime Factorization of 13928

Prime factors of 13928 are 2, 1741. Prime factorization of 13928 in exponential form is:

13928 = 23 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 13922 and 13928.

LCM(13922,13928) = 23 × 69611 × 17411
LCM(13922,13928) = 96952808