What is the Least Common Multiple of 10257 and 10269?

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 10269 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 10269, than apply into the LCM equation.

GCF(10257,10269) = 3
LCM(10257,10269) = ( 10257 × 10269) / 3
LCM(10257,10269) = 105329133 / 3
LCM(10257,10269) = 35109711

Least Common Multiple (LCM) of 10257 and 10269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10257 and 10269. First we will calculate the prime factors of 10257 and 10269.

Prime Factorization of 10257

Prime Factorization of 10269

Now multiplying the highest exponent prime factors to calculate the LCM of 10257 and 10269.

LCM(10257,10269) = 3² × 13¹ × 263¹ × 7¹ × 163¹
LCM(10257,10269) = 35109711