What is the Least Common Multiple of 86309 and 86319?

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 86309 and 86319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86309 and 86319, than apply into the LCM equation.

GCF(86309,86319) = 1
LCM(86309,86319) = ( 86309 × 86319) / 1
LCM(86309,86319) = 7450106571 / 1
LCM(86309,86319) = 7450106571

Least Common Multiple (LCM) of 86309 and 86319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86309 and 86319. First we will calculate the prime factors of 86309 and 86319.

Prime Factorization of 86309

Prime Factorization of 86319

Now multiplying the highest exponent prime factors to calculate the LCM of 86309 and 86319.

LCM(86309,86319) = 17¹ × 5077¹ × 3³ × 23¹ × 139¹
LCM(86309,86319) = 7450106571