What is the Least Common Multiple of 14416 and 14429?

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 14416 and 14429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14416 and 14429, than apply into the LCM equation.

GCF(14416,14429) = 1
LCM(14416,14429) = ( 14416 × 14429) / 1
LCM(14416,14429) = 208008464 / 1
LCM(14416,14429) = 208008464

Least Common Multiple (LCM) of 14416 and 14429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14416 and 14429. First we will calculate the prime factors of 14416 and 14429.

Prime Factorization of 14416

Prime Factorization of 14429

Now multiplying the highest exponent prime factors to calculate the LCM of 14416 and 14429.

LCM(14416,14429) = 2⁴ × 17¹ × 53¹ × 47¹ × 307¹
LCM(14416,14429) = 208008464