What is the Least Common Multiple of 86305 and 86324?

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 86305 and 86324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86305 and 86324, than apply into the LCM equation.

GCF(86305,86324) = 1
LCM(86305,86324) = ( 86305 × 86324) / 1
LCM(86305,86324) = 7450192820 / 1
LCM(86305,86324) = 7450192820

Least Common Multiple (LCM) of 86305 and 86324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86305 and 86324. First we will calculate the prime factors of 86305 and 86324.

Prime Factorization of 86305

Prime Factorization of 86324

Now multiplying the highest exponent prime factors to calculate the LCM of 86305 and 86324.

LCM(86305,86324) = 5¹ × 41¹ × 421¹ × 2² × 7¹ × 3083¹
LCM(86305,86324) = 7450192820