What is the Least Common Multiple of 20430 and 20447?

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 20447 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 20447, than apply into the LCM equation.

GCF(20430,20447) = 1
LCM(20430,20447) = ( 20430 × 20447) / 1
LCM(20430,20447) = 417732210 / 1
LCM(20430,20447) = 417732210

Least Common Multiple (LCM) of 20430 and 20447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20430 and 20447. First we will calculate the prime factors of 20430 and 20447.

Prime Factorization of 20430

Prime Factorization of 20447

Now multiplying the highest exponent prime factors to calculate the LCM of 20430 and 20447.

LCM(20430,20447) = 2¹ × 3² × 5¹ × 227¹ × 7¹ × 23¹ × 127¹
LCM(20430,20447) = 417732210