What is the Least Common Multiple of 47824 and 47838?

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 47824 and 47838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47824 and 47838, than apply into the LCM equation.

GCF(47824,47838) = 14
LCM(47824,47838) = ( 47824 × 47838) / 14
LCM(47824,47838) = 2287804512 / 14
LCM(47824,47838) = 163414608

Least Common Multiple (LCM) of 47824 and 47838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47824 and 47838. First we will calculate the prime factors of 47824 and 47838.

Prime Factorization of 47824

Prime Factorization of 47838

Now multiplying the highest exponent prime factors to calculate the LCM of 47824 and 47838.

LCM(47824,47838) = 2⁴ × 7² × 61¹ × 3¹ × 17¹ × 67¹
LCM(47824,47838) = 163414608