What is the Least Common Multiple of 10257 and 10275?

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 10275 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 10275, than apply into the LCM equation.

GCF(10257,10275) = 3
LCM(10257,10275) = ( 10257 × 10275) / 3
LCM(10257,10275) = 105390675 / 3
LCM(10257,10275) = 35130225

Least Common Multiple (LCM) of 10257 and 10275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10257 and 10275. First we will calculate the prime factors of 10257 and 10275.

Prime Factorization of 10257

Prime Factorization of 10275

Now multiplying the highest exponent prime factors to calculate the LCM of 10257 and 10275.

LCM(10257,10275) = 3¹ × 13¹ × 263¹ × 5² × 137¹
LCM(10257,10275) = 35130225