What is the Least Common Multiple of 13419 and 13425?

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 13419 and 13425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13419 and 13425, than apply into the LCM equation.

GCF(13419,13425) = 3
LCM(13419,13425) = ( 13419 × 13425) / 3
LCM(13419,13425) = 180150075 / 3
LCM(13419,13425) = 60050025

Least Common Multiple (LCM) of 13419 and 13425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13419 and 13425. First we will calculate the prime factors of 13419 and 13425.

Prime Factorization of 13419

Prime Factorization of 13425

Now multiplying the highest exponent prime factors to calculate the LCM of 13419 and 13425.

LCM(13419,13425) = 3³ × 7¹ × 71¹ × 5² × 179¹
LCM(13419,13425) = 60050025