What is the Least Common Multiple of 5814 and 5828?

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 5814 and 5828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5814 and 5828, than apply into the LCM equation.

GCF(5814,5828) = 2
LCM(5814,5828) = ( 5814 × 5828) / 2
LCM(5814,5828) = 33883992 / 2
LCM(5814,5828) = 16941996

Least Common Multiple (LCM) of 5814 and 5828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5828. First we will calculate the prime factors of 5814 and 5828.

Prime Factorization of 5814

Prime Factorization of 5828

Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5828.

LCM(5814,5828) = 2² × 3² × 17¹ × 19¹ × 31¹ × 47¹
LCM(5814,5828) = 16941996