What is the Least Common Multiple of 80513 and 80524?

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 80513 and 80524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80513 and 80524, than apply into the LCM equation.

GCF(80513,80524) = 1
LCM(80513,80524) = ( 80513 × 80524) / 1
LCM(80513,80524) = 6483228812 / 1
LCM(80513,80524) = 6483228812

Least Common Multiple (LCM) of 80513 and 80524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80513 and 80524. First we will calculate the prime factors of 80513 and 80524.

Prime Factorization of 80513

Prime Factorization of 80524

Now multiplying the highest exponent prime factors to calculate the LCM of 80513 and 80524.

LCM(80513,80524) = 80513¹ × 2² × 41¹ × 491¹
LCM(80513,80524) = 6483228812