What is the Least Common Multiple of 20424 and 20430?

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 20424 and 20430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20424 and 20430, than apply into the LCM equation.

GCF(20424,20430) = 6
LCM(20424,20430) = ( 20424 × 20430) / 6
LCM(20424,20430) = 417262320 / 6
LCM(20424,20430) = 69543720

Least Common Multiple (LCM) of 20424 and 20430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20424 and 20430. First we will calculate the prime factors of 20424 and 20430.

Prime Factorization of 20424

Prime Factorization of 20430

Now multiplying the highest exponent prime factors to calculate the LCM of 20424 and 20430.

LCM(20424,20430) = 2³ × 3² × 23¹ × 37¹ × 5¹ × 227¹
LCM(20424,20430) = 69543720