What is the Least Common Multiple of 86173 and 86185?

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 86173 and 86185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86173 and 86185, than apply into the LCM equation.

GCF(86173,86185) = 1
LCM(86173,86185) = ( 86173 × 86185) / 1
LCM(86173,86185) = 7426820005 / 1
LCM(86173,86185) = 7426820005

Least Common Multiple (LCM) of 86173 and 86185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86173 and 86185. First we will calculate the prime factors of 86173 and 86185.

Prime Factorization of 86173

Prime Factorization of 86185

Now multiplying the highest exponent prime factors to calculate the LCM of 86173 and 86185.

LCM(86173,86185) = 17¹ × 37¹ × 137¹ × 5¹ × 11¹ × 1567¹
LCM(86173,86185) = 7426820005