What is the Least Common Multiple of 5823 and 5835?

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 5823 and 5835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5823 and 5835, than apply into the LCM equation.

GCF(5823,5835) = 3
LCM(5823,5835) = ( 5823 × 5835) / 3
LCM(5823,5835) = 33977205 / 3
LCM(5823,5835) = 11325735

Least Common Multiple (LCM) of 5823 and 5835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5823 and 5835. First we will calculate the prime factors of 5823 and 5835.

Prime Factorization of 5823

Prime Factorization of 5835

Now multiplying the highest exponent prime factors to calculate the LCM of 5823 and 5835.

LCM(5823,5835) = 3² × 647¹ × 5¹ × 389¹
LCM(5823,5835) = 11325735