What is the Least Common Multiple of 86445 and 86449?

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 86445 and 86449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86445 and 86449, than apply into the LCM equation.

GCF(86445,86449) = 1
LCM(86445,86449) = ( 86445 × 86449) / 1
LCM(86445,86449) = 7473083805 / 1
LCM(86445,86449) = 7473083805

Least Common Multiple (LCM) of 86445 and 86449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86445 and 86449. First we will calculate the prime factors of 86445 and 86449.

Prime Factorization of 86445

Prime Factorization of 86449

Now multiplying the highest exponent prime factors to calculate the LCM of 86445 and 86449.

LCM(86445,86449) = 3² × 5¹ × 17¹ × 113¹ × 11¹ × 29¹ × 271¹
LCM(86445,86449) = 7473083805