GCF and LCM Calculator Logo

What is the Least Common Multiple of 13912 and 13920?

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 13912 and 13920 is 24206880.

LCM(13912,13920) = 24206880

LCM Calculator and
and

Least Common Multiple of 13912 and 13920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13912 and 13920, than apply into the LCM equation.

GCF(13912,13920) = 8
LCM(13912,13920) = ( 13912 × 13920) / 8
LCM(13912,13920) = 193655040 / 8
LCM(13912,13920) = 24206880

Least Common Multiple (LCM) of 13912 and 13920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13912 and 13920. First we will calculate the prime factors of 13912 and 13920.

Prime Factorization of 13912

Prime factors of 13912 are 2, 37, 47. Prime factorization of 13912 in exponential form is:

13912 = 23 × 371 × 471

Prime Factorization of 13920

Prime factors of 13920 are 2, 3, 5, 29. Prime factorization of 13920 in exponential form is:

13920 = 25 × 31 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 13912 and 13920.

LCM(13912,13920) = 25 × 371 × 471 × 31 × 51 × 291
LCM(13912,13920) = 24206880