What is the Least Common Multiple of 16430 and 16449?

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 16430 and 16449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16430 and 16449, than apply into the LCM equation.

GCF(16430,16449) = 1
LCM(16430,16449) = ( 16430 × 16449) / 1
LCM(16430,16449) = 270257070 / 1
LCM(16430,16449) = 270257070

Least Common Multiple (LCM) of 16430 and 16449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16430 and 16449. First we will calculate the prime factors of 16430 and 16449.

Prime Factorization of 16430

Prime Factorization of 16449

Now multiplying the highest exponent prime factors to calculate the LCM of 16430 and 16449.

LCM(16430,16449) = 2¹ × 5¹ × 31¹ × 53¹ × 3¹ × 5483¹
LCM(16430,16449) = 270257070