What is the Least Common Multiple of 80546 and 80564?

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 80546 and 80564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80546 and 80564, than apply into the LCM equation.

GCF(80546,80564) = 2
LCM(80546,80564) = ( 80546 × 80564) / 2
LCM(80546,80564) = 6489107944 / 2
LCM(80546,80564) = 3244553972

Least Common Multiple (LCM) of 80546 and 80564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80546 and 80564. First we will calculate the prime factors of 80546 and 80564.

Prime Factorization of 80546

Prime Factorization of 80564

Now multiplying the highest exponent prime factors to calculate the LCM of 80546 and 80564.

LCM(80546,80564) = 2² × 17¹ × 23¹ × 103¹ × 11¹ × 1831¹
LCM(80546,80564) = 3244553972