What is the Least Common Multiple of 86802 and 86817?

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 86817 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 86817, than apply into the LCM equation.

GCF(86802,86817) = 3
LCM(86802,86817) = ( 86802 × 86817) / 3
LCM(86802,86817) = 7535889234 / 3
LCM(86802,86817) = 2511963078

Least Common Multiple (LCM) of 86802 and 86817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86802 and 86817. First we will calculate the prime factors of 86802 and 86817.

Prime Factorization of 86802

Prime Factorization of 86817

Now multiplying the highest exponent prime factors to calculate the LCM of 86802 and 86817.

LCM(86802,86817) = 2¹ × 3¹ × 17¹ × 23¹ × 37¹ × 43¹ × 673¹
LCM(86802,86817) = 2511963078