What is the Least Common Multiple of 86382 and 86398?

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 86382 and 86398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86382 and 86398, than apply into the LCM equation.

GCF(86382,86398) = 2
LCM(86382,86398) = ( 86382 × 86398) / 2
LCM(86382,86398) = 7463232036 / 2
LCM(86382,86398) = 3731616018

Least Common Multiple (LCM) of 86382 and 86398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86382 and 86398. First we will calculate the prime factors of 86382 and 86398.

Prime Factorization of 86382

Prime Factorization of 86398

Now multiplying the highest exponent prime factors to calculate the LCM of 86382 and 86398.

LCM(86382,86398) = 2¹ × 3² × 4799¹ × 13¹ × 3323¹
LCM(86382,86398) = 3731616018