What is the Least Common Multiple of 82440 and 82449?

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 82440 and 82449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82440 and 82449, than apply into the LCM equation.

GCF(82440,82449) = 9
LCM(82440,82449) = ( 82440 × 82449) / 9
LCM(82440,82449) = 6797095560 / 9
LCM(82440,82449) = 755232840

Least Common Multiple (LCM) of 82440 and 82449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82440 and 82449. First we will calculate the prime factors of 82440 and 82449.

Prime Factorization of 82440

Prime Factorization of 82449

Now multiplying the highest exponent prime factors to calculate the LCM of 82440 and 82449.

LCM(82440,82449) = 2³ × 3² × 5¹ × 229¹ × 9161¹
LCM(82440,82449) = 755232840