What is the Least Common Multiple of 11408 and 11424?

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 11408 and 11424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11408 and 11424, than apply into the LCM equation.

GCF(11408,11424) = 16
LCM(11408,11424) = ( 11408 × 11424) / 16
LCM(11408,11424) = 130324992 / 16
LCM(11408,11424) = 8145312

Least Common Multiple (LCM) of 11408 and 11424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11408 and 11424. First we will calculate the prime factors of 11408 and 11424.

Prime Factorization of 11408

Prime Factorization of 11424

Now multiplying the highest exponent prime factors to calculate the LCM of 11408 and 11424.

LCM(11408,11424) = 2⁵ × 23¹ × 31¹ × 3¹ × 7¹ × 17¹
LCM(11408,11424) = 8145312