What is the Least Common Multiple of 5824 and 5838?

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 5824 and 5838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5824 and 5838, than apply into the LCM equation.

GCF(5824,5838) = 14
LCM(5824,5838) = ( 5824 × 5838) / 14
LCM(5824,5838) = 34000512 / 14
LCM(5824,5838) = 2428608

Least Common Multiple (LCM) of 5824 and 5838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5824 and 5838. First we will calculate the prime factors of 5824 and 5838.

Prime Factorization of 5824

Prime Factorization of 5838

Now multiplying the highest exponent prime factors to calculate the LCM of 5824 and 5838.

LCM(5824,5838) = 2⁶ × 7¹ × 13¹ × 3¹ × 139¹
LCM(5824,5838) = 2428608