What is the Least Common Multiple of 5856 and 5874?

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 5856 and 5874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5856 and 5874, than apply into the LCM equation.

GCF(5856,5874) = 6
LCM(5856,5874) = ( 5856 × 5874) / 6
LCM(5856,5874) = 34398144 / 6
LCM(5856,5874) = 5733024

Least Common Multiple (LCM) of 5856 and 5874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5856 and 5874. First we will calculate the prime factors of 5856 and 5874.

Prime Factorization of 5856

Prime Factorization of 5874

Now multiplying the highest exponent prime factors to calculate the LCM of 5856 and 5874.

LCM(5856,5874) = 2⁵ × 3¹ × 61¹ × 11¹ × 89¹
LCM(5856,5874) = 5733024