GCF and LCM Calculator Logo

What is the Least Common Multiple of 80818 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 (LCM) of 80818 and 80834 is 3266421106.

LCM(80818,80834) = 3266421106

LCM Calculator and
and

Least Common Multiple of 80818 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 80818 and 80834, than apply into the LCM equation.

GCF(80818,80834) = 2
LCM(80818,80834) = ( 80818 × 80834) / 2
LCM(80818,80834) = 6532842212 / 2
LCM(80818,80834) = 3266421106

Least Common Multiple (LCM) of 80818 and 80834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80818 and 80834. First we will calculate the prime factors of 80818 and 80834.

Prime Factorization of 80818

Prime factors of 80818 are 2, 17, 2377. Prime factorization of 80818 in exponential form is:

80818 = 21 × 171 × 23771

Prime Factorization of 80834

Prime factors of 80834 are 2, 13, 3109. Prime factorization of 80834 in exponential form is:

80834 = 21 × 131 × 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 80818 and 80834.

LCM(80818,80834) = 21 × 171 × 23771 × 131 × 31091
LCM(80818,80834) = 3266421106