GCF and LCM Calculator Logo

What is the Least Common Multiple of 13848 and 13868?

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 13848 and 13868 is 48011016.

LCM(13848,13868) = 48011016

LCM Calculator and
and

Least Common Multiple of 13848 and 13868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13848 and 13868, than apply into the LCM equation.

GCF(13848,13868) = 4
LCM(13848,13868) = ( 13848 × 13868) / 4
LCM(13848,13868) = 192044064 / 4
LCM(13848,13868) = 48011016

Least Common Multiple (LCM) of 13848 and 13868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13848 and 13868. First we will calculate the prime factors of 13848 and 13868.

Prime Factorization of 13848

Prime factors of 13848 are 2, 3, 577. Prime factorization of 13848 in exponential form is:

13848 = 23 × 31 × 5771

Prime Factorization of 13868

Prime factors of 13868 are 2, 3467. Prime factorization of 13868 in exponential form is:

13868 = 22 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 13848 and 13868.

LCM(13848,13868) = 23 × 31 × 5771 × 34671
LCM(13848,13868) = 48011016