GCF and LCM Calculator Logo

What is the Least Common Multiple of 13907 and 13921?

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 13907 and 13921 is 193599347.

LCM(13907,13921) = 193599347

LCM Calculator and
and

Least Common Multiple of 13907 and 13921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13907 and 13921, than apply into the LCM equation.

GCF(13907,13921) = 1
LCM(13907,13921) = ( 13907 × 13921) / 1
LCM(13907,13921) = 193599347 / 1
LCM(13907,13921) = 193599347

Least Common Multiple (LCM) of 13907 and 13921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13907 and 13921. First we will calculate the prime factors of 13907 and 13921.

Prime Factorization of 13907

Prime factors of 13907 are 13907. Prime factorization of 13907 in exponential form is:

13907 = 139071

Prime Factorization of 13921

Prime factors of 13921 are 13921. Prime factorization of 13921 in exponential form is:

13921 = 139211

Now multiplying the highest exponent prime factors to calculate the LCM of 13907 and 13921.

LCM(13907,13921) = 139071 × 139211
LCM(13907,13921) = 193599347