What is the Least Common Multiple of 80805 and 80817?

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 80805 and 80817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80805 and 80817, than apply into the LCM equation.

GCF(80805,80817) = 3
LCM(80805,80817) = ( 80805 × 80817) / 3
LCM(80805,80817) = 6530417685 / 3
LCM(80805,80817) = 2176805895

Least Common Multiple (LCM) of 80805 and 80817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80805 and 80817. First we will calculate the prime factors of 80805 and 80817.

Prime Factorization of 80805

Prime Factorization of 80817

Now multiplying the highest exponent prime factors to calculate the LCM of 80805 and 80817.

LCM(80805,80817) = 3¹ × 5¹ × 5387¹ × 11¹ × 31¹ × 79¹
LCM(80805,80817) = 2176805895