What is the Least Common Multiple of 13416 and 13429?

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 13416 and 13429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13416 and 13429, than apply into the LCM equation.

GCF(13416,13429) = 13
LCM(13416,13429) = ( 13416 × 13429) / 13
LCM(13416,13429) = 180163464 / 13
LCM(13416,13429) = 13858728

Least Common Multiple (LCM) of 13416 and 13429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13416 and 13429. First we will calculate the prime factors of 13416 and 13429.

Prime Factorization of 13416

Prime Factorization of 13429

Now multiplying the highest exponent prime factors to calculate the LCM of 13416 and 13429.

LCM(13416,13429) = 2³ × 3¹ × 13¹ × 43¹ × 1033¹
LCM(13416,13429) = 13858728