What is the Least Common Multiple of 89824 and 89838?

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 89824 and 89838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89824 and 89838, than apply into the LCM equation.

GCF(89824,89838) = 14
LCM(89824,89838) = ( 89824 × 89838) / 14
LCM(89824,89838) = 8069608512 / 14
LCM(89824,89838) = 576400608

Least Common Multiple (LCM) of 89824 and 89838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89824 and 89838. First we will calculate the prime factors of 89824 and 89838.

Prime Factorization of 89824

Prime Factorization of 89838

Now multiplying the highest exponent prime factors to calculate the LCM of 89824 and 89838.

LCM(89824,89838) = 2⁵ × 7¹ × 401¹ × 3² × 23¹ × 31¹
LCM(89824,89838) = 576400608