What is the Least Common Multiple of 86481 and 86499?

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 86481 and 86499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86481 and 86499, than apply into the LCM equation.

GCF(86481,86499) = 9
LCM(86481,86499) = ( 86481 × 86499) / 9
LCM(86481,86499) = 7480520019 / 9
LCM(86481,86499) = 831168891

Least Common Multiple (LCM) of 86481 and 86499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86481 and 86499. First we will calculate the prime factors of 86481 and 86499.

Prime Factorization of 86481

Prime Factorization of 86499

Now multiplying the highest exponent prime factors to calculate the LCM of 86481 and 86499.

LCM(86481,86499) = 3³ × 3203¹ × 7¹ × 1373¹
LCM(86481,86499) = 831168891