What is the Least Common Multiple of 86205 and 86211?

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 86205 and 86211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86205 and 86211, than apply into the LCM equation.

GCF(86205,86211) = 3
LCM(86205,86211) = ( 86205 × 86211) / 3
LCM(86205,86211) = 7431819255 / 3
LCM(86205,86211) = 2477273085

Least Common Multiple (LCM) of 86205 and 86211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86205 and 86211. First we will calculate the prime factors of 86205 and 86211.

Prime Factorization of 86205

Prime Factorization of 86211

Now multiplying the highest exponent prime factors to calculate the LCM of 86205 and 86211.

LCM(86205,86211) = 3³ × 5¹ × 7¹ × 821¹ × 31¹ × 103¹
LCM(86205,86211) = 2477273085