What is the Least Common Multiple of 8826 and 8844?

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 8826 and 8844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8826 and 8844, than apply into the LCM equation.

GCF(8826,8844) = 6
LCM(8826,8844) = ( 8826 × 8844) / 6
LCM(8826,8844) = 78057144 / 6
LCM(8826,8844) = 13009524

Least Common Multiple (LCM) of 8826 and 8844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8826 and 8844. First we will calculate the prime factors of 8826 and 8844.

Prime Factorization of 8826

Prime Factorization of 8844

Now multiplying the highest exponent prime factors to calculate the LCM of 8826 and 8844.

LCM(8826,8844) = 2² × 3¹ × 1471¹ × 11¹ × 67¹
LCM(8826,8844) = 13009524