What is the Least Common Multiple of 86806 and 86823?

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 86806 and 86823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86806 and 86823, than apply into the LCM equation.

GCF(86806,86823) = 1
LCM(86806,86823) = ( 86806 × 86823) / 1
LCM(86806,86823) = 7536757338 / 1
LCM(86806,86823) = 7536757338

Least Common Multiple (LCM) of 86806 and 86823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86806 and 86823. First we will calculate the prime factors of 86806 and 86823.

Prime Factorization of 86806

Prime Factorization of 86823

Now multiplying the highest exponent prime factors to calculate the LCM of 86806 and 86823.

LCM(86806,86823) = 2¹ × 43403¹ × 3² × 11¹ × 877¹
LCM(86806,86823) = 7536757338