What is the Least Common Multiple of 82238 and 82254?

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 82238 and 82254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82238 and 82254, than apply into the LCM equation.

GCF(82238,82254) = 2
LCM(82238,82254) = ( 82238 × 82254) / 2
LCM(82238,82254) = 6764404452 / 2
LCM(82238,82254) = 3382202226

Least Common Multiple (LCM) of 82238 and 82254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82238 and 82254. First we will calculate the prime factors of 82238 and 82254.

Prime Factorization of 82238

Prime Factorization of 82254

Now multiplying the highest exponent prime factors to calculate the LCM of 82238 and 82254.

LCM(82238,82254) = 2¹ × 13¹ × 3163¹ × 3¹ × 13709¹
LCM(82238,82254) = 3382202226