What is the Least Common Multiple of 86174 and 86186?

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 86174 and 86186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86174 and 86186, than apply into the LCM equation.

GCF(86174,86186) = 2
LCM(86174,86186) = ( 86174 × 86186) / 2
LCM(86174,86186) = 7426992364 / 2
LCM(86174,86186) = 3713496182

Least Common Multiple (LCM) of 86174 and 86186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86174 and 86186. First we will calculate the prime factors of 86174 and 86186.

Prime Factorization of 86174

Prime Factorization of 86186

Now multiplying the highest exponent prime factors to calculate the LCM of 86174 and 86186.

LCM(86174,86186) = 2¹ × 11¹ × 3917¹ × 43093¹
LCM(86174,86186) = 3713496182