What is the Least Common Multiple of 86384 and 86391?

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 86384 and 86391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86384 and 86391, than apply into the LCM equation.

GCF(86384,86391) = 1
LCM(86384,86391) = ( 86384 × 86391) / 1
LCM(86384,86391) = 7462800144 / 1
LCM(86384,86391) = 7462800144

Least Common Multiple (LCM) of 86384 and 86391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86384 and 86391. First we will calculate the prime factors of 86384 and 86391.

Prime Factorization of 86384

Prime Factorization of 86391

Now multiplying the highest exponent prime factors to calculate the LCM of 86384 and 86391.

LCM(86384,86391) = 2⁴ × 5399¹ × 3² × 29¹ × 331¹
LCM(86384,86391) = 7462800144