What is the Least Common Multiple of 80835 and 80852?

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 80835 and 80852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80835 and 80852, than apply into the LCM equation.

GCF(80835,80852) = 17
LCM(80835,80852) = ( 80835 × 80852) / 17
LCM(80835,80852) = 6535671420 / 17
LCM(80835,80852) = 384451260

Least Common Multiple (LCM) of 80835 and 80852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80835 and 80852. First we will calculate the prime factors of 80835 and 80852.

Prime Factorization of 80835

Prime Factorization of 80852

Now multiplying the highest exponent prime factors to calculate the LCM of 80835 and 80852.

LCM(80835,80852) = 3¹ × 5¹ × 17¹ × 317¹ × 2² × 29¹ × 41¹
LCM(80835,80852) = 384451260