What is the Least Common Multiple of 80834 and 80851?

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 80834 and 80851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80834 and 80851, than apply into the LCM equation.

GCF(80834,80851) = 1
LCM(80834,80851) = ( 80834 × 80851) / 1
LCM(80834,80851) = 6535509734 / 1
LCM(80834,80851) = 6535509734

Least Common Multiple (LCM) of 80834 and 80851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80834 and 80851. First we will calculate the prime factors of 80834 and 80851.

Prime Factorization of 80834

Prime Factorization of 80851

Now multiplying the highest exponent prime factors to calculate the LCM of 80834 and 80851.

LCM(80834,80851) = 2¹ × 13¹ × 3109¹ × 233¹ × 347¹
LCM(80834,80851) = 6535509734