What is the Least Common Multiple of 5814 and 5826?

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 5826 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 5826, than apply into the LCM equation.

GCF(5814,5826) = 6
LCM(5814,5826) = ( 5814 × 5826) / 6
LCM(5814,5826) = 33872364 / 6
LCM(5814,5826) = 5645394

Least Common Multiple (LCM) of 5814 and 5826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5826. First we will calculate the prime factors of 5814 and 5826.

Prime Factorization of 5814

Prime Factorization of 5826

Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5826.

LCM(5814,5826) = 2¹ × 3² × 17¹ × 19¹ × 971¹
LCM(5814,5826) = 5645394