GCF and LCM Calculator Logo

What is the Least Common Multiple of 13896 and 13916?

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 13896 and 13916 is 48344184.

LCM(13896,13916) = 48344184

LCM Calculator and
and

Least Common Multiple of 13896 and 13916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13896 and 13916, than apply into the LCM equation.

GCF(13896,13916) = 4
LCM(13896,13916) = ( 13896 × 13916) / 4
LCM(13896,13916) = 193376736 / 4
LCM(13896,13916) = 48344184

Least Common Multiple (LCM) of 13896 and 13916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13896 and 13916. First we will calculate the prime factors of 13896 and 13916.

Prime Factorization of 13896

Prime factors of 13896 are 2, 3, 193. Prime factorization of 13896 in exponential form is:

13896 = 23 × 32 × 1931

Prime Factorization of 13916

Prime factors of 13916 are 2, 7, 71. Prime factorization of 13916 in exponential form is:

13916 = 22 × 72 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13896 and 13916.

LCM(13896,13916) = 23 × 32 × 1931 × 72 × 711
LCM(13896,13916) = 48344184