What is the Least Common Multiple of 89408 and 89424?

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 89408 and 89424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89408 and 89424, than apply into the LCM equation.

GCF(89408,89424) = 16
LCM(89408,89424) = ( 89408 × 89424) / 16
LCM(89408,89424) = 7995220992 / 16
LCM(89408,89424) = 499701312

Least Common Multiple (LCM) of 89408 and 89424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89408 and 89424. First we will calculate the prime factors of 89408 and 89424.

Prime Factorization of 89408

Prime Factorization of 89424

Now multiplying the highest exponent prime factors to calculate the LCM of 89408 and 89424.

LCM(89408,89424) = 2⁶ × 11¹ × 127¹ × 3⁵ × 23¹
LCM(89408,89424) = 499701312