What is the Least Common Multiple of 11424 and 11428?

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 11424 and 11428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11424 and 11428, than apply into the LCM equation.

GCF(11424,11428) = 4
LCM(11424,11428) = ( 11424 × 11428) / 4
LCM(11424,11428) = 130553472 / 4
LCM(11424,11428) = 32638368

Least Common Multiple (LCM) of 11424 and 11428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11424 and 11428. First we will calculate the prime factors of 11424 and 11428.

Prime Factorization of 11424

Prime Factorization of 11428

Now multiplying the highest exponent prime factors to calculate the LCM of 11424 and 11428.

LCM(11424,11428) = 2⁵ × 3¹ × 7¹ × 17¹ × 2857¹
LCM(11424,11428) = 32638368