What is the Least Common Multiple of 86368 and 86382?

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 86368 and 86382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86368 and 86382, than apply into the LCM equation.

GCF(86368,86382) = 2
LCM(86368,86382) = ( 86368 × 86382) / 2
LCM(86368,86382) = 7460640576 / 2
LCM(86368,86382) = 3730320288

Least Common Multiple (LCM) of 86368 and 86382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86368 and 86382. First we will calculate the prime factors of 86368 and 86382.

Prime Factorization of 86368

Prime Factorization of 86382

Now multiplying the highest exponent prime factors to calculate the LCM of 86368 and 86382.

LCM(86368,86382) = 2⁵ × 2699¹ × 3² × 4799¹
LCM(86368,86382) = 3730320288