What is the Least Common Multiple of 80805 and 80814?

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 80814 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 80814, than apply into the LCM equation.

GCF(80805,80814) = 3
LCM(80805,80814) = ( 80805 × 80814) / 3
LCM(80805,80814) = 6530175270 / 3
LCM(80805,80814) = 2176725090

Least Common Multiple (LCM) of 80805 and 80814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80805 and 80814. First we will calculate the prime factors of 80805 and 80814.

Prime Factorization of 80805

Prime Factorization of 80814

Now multiplying the highest exponent prime factors to calculate the LCM of 80805 and 80814.

LCM(80805,80814) = 3¹ × 5¹ × 5387¹ × 2¹ × 13469¹
LCM(80805,80814) = 2176725090