What is the Least Common Multiple of 5838 and 5856?

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 5838 and 5856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5838 and 5856, than apply into the LCM equation.

GCF(5838,5856) = 6
LCM(5838,5856) = ( 5838 × 5856) / 6
LCM(5838,5856) = 34187328 / 6
LCM(5838,5856) = 5697888

Least Common Multiple (LCM) of 5838 and 5856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5838 and 5856. First we will calculate the prime factors of 5838 and 5856.

Prime Factorization of 5838

Prime Factorization of 5856

Now multiplying the highest exponent prime factors to calculate the LCM of 5838 and 5856.

LCM(5838,5856) = 2⁵ × 3¹ × 7¹ × 139¹ × 61¹
LCM(5838,5856) = 5697888