What is the Least Common Multiple of 86157 and 86173?

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 86157 and 86173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86157 and 86173, than apply into the LCM equation.

GCF(86157,86173) = 1
LCM(86157,86173) = ( 86157 × 86173) / 1
LCM(86157,86173) = 7424407161 / 1
LCM(86157,86173) = 7424407161

Least Common Multiple (LCM) of 86157 and 86173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86157 and 86173. First we will calculate the prime factors of 86157 and 86173.

Prime Factorization of 86157

Prime Factorization of 86173

Now multiplying the highest exponent prime factors to calculate the LCM of 86157 and 86173.

LCM(86157,86173) = 3³ × 3191¹ × 17¹ × 37¹ × 137¹
LCM(86157,86173) = 7424407161