What is the Least Common Multiple of 20430 and 20449?

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 20430 and 20449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20430 and 20449, than apply into the LCM equation.

GCF(20430,20449) = 1
LCM(20430,20449) = ( 20430 × 20449) / 1
LCM(20430,20449) = 417773070 / 1
LCM(20430,20449) = 417773070

Least Common Multiple (LCM) of 20430 and 20449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20430 and 20449. First we will calculate the prime factors of 20430 and 20449.

Prime Factorization of 20430

Prime Factorization of 20449

Now multiplying the highest exponent prime factors to calculate the LCM of 20430 and 20449.

LCM(20430,20449) = 2¹ × 3² × 5¹ × 227¹ × 11² × 13²
LCM(20430,20449) = 417773070