What is the Least Common Multiple of 16429 and 16433?

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 16429 and 16433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16429 and 16433, than apply into the LCM equation.

GCF(16429,16433) = 1
LCM(16429,16433) = ( 16429 × 16433) / 1
LCM(16429,16433) = 269977757 / 1
LCM(16429,16433) = 269977757

Least Common Multiple (LCM) of 16429 and 16433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16429 and 16433. First we will calculate the prime factors of 16429 and 16433.

Prime Factorization of 16429

Prime Factorization of 16433

Now multiplying the highest exponent prime factors to calculate the LCM of 16429 and 16433.

LCM(16429,16433) = 7¹ × 2347¹ × 16433¹
LCM(16429,16433) = 269977757