What is the Least Common Multiple of 16405 and 16414?

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 16405 and 16414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16405 and 16414, than apply into the LCM equation.

GCF(16405,16414) = 1
LCM(16405,16414) = ( 16405 × 16414) / 1
LCM(16405,16414) = 269271670 / 1
LCM(16405,16414) = 269271670

Least Common Multiple (LCM) of 16405 and 16414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16405 and 16414. First we will calculate the prime factors of 16405 and 16414.

Prime Factorization of 16405

Prime Factorization of 16414

Now multiplying the highest exponent prime factors to calculate the LCM of 16405 and 16414.

LCM(16405,16414) = 5¹ × 17¹ × 193¹ × 2¹ × 29¹ × 283¹
LCM(16405,16414) = 269271670