What is the Least Common Multiple of 5808 and 5827?

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 5808 and 5827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5808 and 5827, than apply into the LCM equation.

GCF(5808,5827) = 1
LCM(5808,5827) = ( 5808 × 5827) / 1
LCM(5808,5827) = 33843216 / 1
LCM(5808,5827) = 33843216

Least Common Multiple (LCM) of 5808 and 5827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5808 and 5827. First we will calculate the prime factors of 5808 and 5827.

Prime Factorization of 5808

Prime Factorization of 5827

Now multiplying the highest exponent prime factors to calculate the LCM of 5808 and 5827.

LCM(5808,5827) = 2⁴ × 3¹ × 11² × 5827¹
LCM(5808,5827) = 33843216