What is the Least Common Multiple of 10238 and 10257?

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 10238 and 10257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10238 and 10257, than apply into the LCM equation.

GCF(10238,10257) = 1
LCM(10238,10257) = ( 10238 × 10257) / 1
LCM(10238,10257) = 105011166 / 1
LCM(10238,10257) = 105011166

Least Common Multiple (LCM) of 10238 and 10257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10238 and 10257. First we will calculate the prime factors of 10238 and 10257.

Prime Factorization of 10238

Prime Factorization of 10257

Now multiplying the highest exponent prime factors to calculate the LCM of 10238 and 10257.

LCM(10238,10257) = 2¹ × 5119¹ × 3¹ × 13¹ × 263¹
LCM(10238,10257) = 105011166