What is the Least Common Multiple of 83238 and 83257?

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 83238 and 83257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83238 and 83257, than apply into the LCM equation.

GCF(83238,83257) = 1
LCM(83238,83257) = ( 83238 × 83257) / 1
LCM(83238,83257) = 6930146166 / 1
LCM(83238,83257) = 6930146166

Least Common Multiple (LCM) of 83238 and 83257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83238 and 83257. First we will calculate the prime factors of 83238 and 83257.

Prime Factorization of 83238

Prime Factorization of 83257

Now multiplying the highest exponent prime factors to calculate the LCM of 83238 and 83257.

LCM(83238,83257) = 2¹ × 3¹ × 13873¹ × 83257¹
LCM(83238,83257) = 6930146166