What is the Least Common Multiple of 86211 and 86217?

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 86211 and 86217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86211 and 86217, than apply into the LCM equation.

GCF(86211,86217) = 3
LCM(86211,86217) = ( 86211 × 86217) / 3
LCM(86211,86217) = 7432853787 / 3
LCM(86211,86217) = 2477617929

Least Common Multiple (LCM) of 86211 and 86217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86211 and 86217. First we will calculate the prime factors of 86211 and 86217.

Prime Factorization of 86211

Prime Factorization of 86217

Now multiplying the highest exponent prime factors to calculate the LCM of 86211 and 86217.

LCM(86211,86217) = 3³ × 31¹ × 103¹ × 29¹ × 991¹
LCM(86211,86217) = 2477617929