What is the Least Common Multiple of 80566 and 80584?

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 80566 and 80584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80566 and 80584, than apply into the LCM equation.

GCF(80566,80584) = 2
LCM(80566,80584) = ( 80566 × 80584) / 2
LCM(80566,80584) = 6492330544 / 2
LCM(80566,80584) = 3246165272

Least Common Multiple (LCM) of 80566 and 80584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80566 and 80584. First we will calculate the prime factors of 80566 and 80584.

Prime Factorization of 80566

Prime Factorization of 80584

Now multiplying the highest exponent prime factors to calculate the LCM of 80566 and 80584.

LCM(80566,80584) = 2³ × 40283¹ × 7¹ × 1439¹
LCM(80566,80584) = 3246165272