What is the Least Common Multiple of 80805 and 80812?

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 80812 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 80812, than apply into the LCM equation.

GCF(80805,80812) = 1
LCM(80805,80812) = ( 80805 × 80812) / 1
LCM(80805,80812) = 6530013660 / 1
LCM(80805,80812) = 6530013660

Least Common Multiple (LCM) of 80805 and 80812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80805 and 80812. First we will calculate the prime factors of 80805 and 80812.

Prime Factorization of 80805

Prime Factorization of 80812

Now multiplying the highest exponent prime factors to calculate the LCM of 80805 and 80812.

LCM(80805,80812) = 3¹ × 5¹ × 5387¹ × 2² × 89¹ × 227¹
LCM(80805,80812) = 6530013660