What is the Least Common Multiple of 80826 and 80834?

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 80826 and 80834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80826 and 80834, than apply into the LCM equation.

GCF(80826,80834) = 2
LCM(80826,80834) = ( 80826 × 80834) / 2
LCM(80826,80834) = 6533488884 / 2
LCM(80826,80834) = 3266744442

Least Common Multiple (LCM) of 80826 and 80834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80826 and 80834. First we will calculate the prime factors of 80826 and 80834.

Prime Factorization of 80826

Prime Factorization of 80834

Now multiplying the highest exponent prime factors to calculate the LCM of 80826 and 80834.

LCM(80826,80834) = 2¹ × 3¹ × 19¹ × 709¹ × 13¹ × 3109¹
LCM(80826,80834) = 3266744442