What is the Least Common Multiple of 80805 and 80825?

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 80825 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 80825, than apply into the LCM equation.

GCF(80805,80825) = 5
LCM(80805,80825) = ( 80805 × 80825) / 5
LCM(80805,80825) = 6531064125 / 5
LCM(80805,80825) = 1306212825

Least Common Multiple (LCM) of 80805 and 80825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80805 and 80825. First we will calculate the prime factors of 80805 and 80825.

Prime Factorization of 80805

Prime Factorization of 80825

Now multiplying the highest exponent prime factors to calculate the LCM of 80805 and 80825.

LCM(80805,80825) = 3¹ × 5² × 5387¹ × 53¹ × 61¹
LCM(80805,80825) = 1306212825