What is the Least Common Multiple of 82242 and 82257?

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 82242 and 82257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82242 and 82257, than apply into the LCM equation.

GCF(82242,82257) = 3
LCM(82242,82257) = ( 82242 × 82257) / 3
LCM(82242,82257) = 6764980194 / 3
LCM(82242,82257) = 2254993398

Least Common Multiple (LCM) of 82242 and 82257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82242 and 82257. First we will calculate the prime factors of 82242 and 82257.

Prime Factorization of 82242

Prime Factorization of 82257

Now multiplying the highest exponent prime factors to calculate the LCM of 82242 and 82257.

LCM(82242,82257) = 2¹ × 3³ × 1523¹ × 7¹ × 3917¹
LCM(82242,82257) = 2254993398