What is the Least Common Multiple of 86802 and 86806?

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 86802 and 86806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86802 and 86806, than apply into the LCM equation.

GCF(86802,86806) = 2
LCM(86802,86806) = ( 86802 × 86806) / 2
LCM(86802,86806) = 7534934412 / 2
LCM(86802,86806) = 3767467206

Least Common Multiple (LCM) of 86802 and 86806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86802 and 86806. First we will calculate the prime factors of 86802 and 86806.

Prime Factorization of 86802

Prime Factorization of 86806

Now multiplying the highest exponent prime factors to calculate the LCM of 86802 and 86806.

LCM(86802,86806) = 2¹ × 3¹ × 17¹ × 23¹ × 37¹ × 43403¹
LCM(86802,86806) = 3767467206