GCF and LCM Calculator Logo

What is the Least Common Multiple of 13401 and 13419?

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 13401 and 13419 is 19980891.

LCM(13401,13419) = 19980891

LCM Calculator and
and

Least Common Multiple of 13401 and 13419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13401 and 13419, than apply into the LCM equation.

GCF(13401,13419) = 9
LCM(13401,13419) = ( 13401 × 13419) / 9
LCM(13401,13419) = 179828019 / 9
LCM(13401,13419) = 19980891

Least Common Multiple (LCM) of 13401 and 13419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13401 and 13419. First we will calculate the prime factors of 13401 and 13419.

Prime Factorization of 13401

Prime factors of 13401 are 3, 1489. Prime factorization of 13401 in exponential form is:

13401 = 32 × 14891

Prime Factorization of 13419

Prime factors of 13419 are 3, 7, 71. Prime factorization of 13419 in exponential form is:

13419 = 33 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13401 and 13419.

LCM(13401,13419) = 33 × 14891 × 71 × 711
LCM(13401,13419) = 19980891