What is the Least Common Multiple of 5813 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 5813 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 5813 and 5827, than apply into the LCM equation.

GCF(5813,5827) = 1
LCM(5813,5827) = ( 5813 × 5827) / 1
LCM(5813,5827) = 33872351 / 1
LCM(5813,5827) = 33872351

Least Common Multiple (LCM) of 5813 and 5827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5813 and 5827. First we will calculate the prime factors of 5813 and 5827.

Prime Factorization of 5813

Prime Factorization of 5827

Now multiplying the highest exponent prime factors to calculate the LCM of 5813 and 5827.

LCM(5813,5827) = 5813¹ × 5827¹
LCM(5813,5827) = 33872351