What is the Least Common Multiple of 16415 and 16429?

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 16415 and 16429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16415 and 16429, than apply into the LCM equation.

GCF(16415,16429) = 7
LCM(16415,16429) = ( 16415 × 16429) / 7
LCM(16415,16429) = 269682035 / 7
LCM(16415,16429) = 38526005

Least Common Multiple (LCM) of 16415 and 16429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16415 and 16429. First we will calculate the prime factors of 16415 and 16429.

Prime Factorization of 16415

Prime Factorization of 16429

Now multiplying the highest exponent prime factors to calculate the LCM of 16415 and 16429.

LCM(16415,16429) = 5¹ × 7² × 67¹ × 2347¹
LCM(16415,16429) = 38526005