What is the Least Common Multiple of 65238 and 65257?

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 65238 and 65257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65238 and 65257, than apply into the LCM equation.

GCF(65238,65257) = 1
LCM(65238,65257) = ( 65238 × 65257) / 1
LCM(65238,65257) = 4257236166 / 1
LCM(65238,65257) = 4257236166

Least Common Multiple (LCM) of 65238 and 65257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65238 and 65257. First we will calculate the prime factors of 65238 and 65257.

Prime Factorization of 65238

Prime Factorization of 65257

Now multiplying the highest exponent prime factors to calculate the LCM of 65238 and 65257.

LCM(65238,65257) = 2¹ × 3¹ × 83¹ × 131¹ × 65257¹
LCM(65238,65257) = 4257236166