What is the Least Common Multiple of 82228 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 82228 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 82228 and 82238, than apply into the LCM equation.

GCF(82228,82238) = 2
LCM(82228,82238) = ( 82228 × 82238) / 2
LCM(82228,82238) = 6762266264 / 2
LCM(82228,82238) = 3381133132

Least Common Multiple (LCM) of 82228 and 82238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82228 and 82238. First we will calculate the prime factors of 82228 and 82238.

Prime Factorization of 82228

Prime Factorization of 82238

Now multiplying the highest exponent prime factors to calculate the LCM of 82228 and 82238.

LCM(82228,82238) = 2² × 61¹ × 337¹ × 13¹ × 3163¹
LCM(82228,82238) = 3381133132