GCF and LCM Calculator Logo

What is the Least Common Multiple of 5823 and 5834?

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 (LCM) of 5823 and 5834 is 33971382.

LCM(5823,5834) = 33971382

LCM Calculator and
and

Least Common Multiple of 5823 and 5834 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 5834, than apply into the LCM equation.

GCF(5823,5834) = 1
LCM(5823,5834) = ( 5823 × 5834) / 1
LCM(5823,5834) = 33971382 / 1
LCM(5823,5834) = 33971382

Least Common Multiple (LCM) of 5823 and 5834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5823 and 5834. First we will calculate the prime factors of 5823 and 5834.

Prime Factorization of 5823

Prime factors of 5823 are 3, 647. Prime factorization of 5823 in exponential form is:

5823 = 32 × 6471

Prime Factorization of 5834

Prime factors of 5834 are 2, 2917. Prime factorization of 5834 in exponential form is:

5834 = 21 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 5823 and 5834.

LCM(5823,5834) = 32 × 6471 × 21 × 29171
LCM(5823,5834) = 33971382