What is the Least Common Multiple of 32424 and 32428?

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 32424 and 32428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32424 and 32428, than apply into the LCM equation.

GCF(32424,32428) = 4
LCM(32424,32428) = ( 32424 × 32428) / 4
LCM(32424,32428) = 1051445472 / 4
LCM(32424,32428) = 262861368

Least Common Multiple (LCM) of 32424 and 32428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32424 and 32428. First we will calculate the prime factors of 32424 and 32428.

Prime Factorization of 32424

Prime Factorization of 32428

Now multiplying the highest exponent prime factors to calculate the LCM of 32424 and 32428.

LCM(32424,32428) = 2³ × 3¹ × 7¹ × 193¹ × 11² × 67¹
LCM(32424,32428) = 262861368