What is the Least Common Multiple of 10257 and 10271?

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 10257 and 10271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10257 and 10271, than apply into the LCM equation.

GCF(10257,10271) = 1
LCM(10257,10271) = ( 10257 × 10271) / 1
LCM(10257,10271) = 105349647 / 1
LCM(10257,10271) = 105349647

Least Common Multiple (LCM) of 10257 and 10271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10257 and 10271. First we will calculate the prime factors of 10257 and 10271.

Prime Factorization of 10257

Prime Factorization of 10271

Now multiplying the highest exponent prime factors to calculate the LCM of 10257 and 10271.

LCM(10257,10271) = 3¹ × 13¹ × 263¹ × 10271¹
LCM(10257,10271) = 105349647