What is the Least Common Multiple of 13407 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 of 13407 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 13407 and 13419, than apply into the LCM equation.

GCF(13407,13419) = 3
LCM(13407,13419) = ( 13407 × 13419) / 3
LCM(13407,13419) = 179908533 / 3
LCM(13407,13419) = 59969511

Least Common Multiple (LCM) of 13407 and 13419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13407 and 13419. First we will calculate the prime factors of 13407 and 13419.

Prime Factorization of 13407

Prime Factorization of 13419

Now multiplying the highest exponent prime factors to calculate the LCM of 13407 and 13419.

LCM(13407,13419) = 3³ × 41¹ × 109¹ × 7¹ × 71¹
LCM(13407,13419) = 59969511