What is the Least Common Multiple of 82223 and 82238?

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 82223 and 82238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82223 and 82238, than apply into the LCM equation.

GCF(82223,82238) = 1
LCM(82223,82238) = ( 82223 × 82238) / 1
LCM(82223,82238) = 6761855074 / 1
LCM(82223,82238) = 6761855074

Least Common Multiple (LCM) of 82223 and 82238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82223 and 82238. First we will calculate the prime factors of 82223 and 82238.

Prime Factorization of 82223

Prime Factorization of 82238

Now multiplying the highest exponent prime factors to calculate the LCM of 82223 and 82238.

LCM(82223,82238) = 82223¹ × 2¹ × 13¹ × 3163¹
LCM(82223,82238) = 6761855074