What is the Least Common Multiple of 10254 and 10263?

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 10254 and 10263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10254 and 10263, than apply into the LCM equation.

GCF(10254,10263) = 3
LCM(10254,10263) = ( 10254 × 10263) / 3
LCM(10254,10263) = 105236802 / 3
LCM(10254,10263) = 35078934

Least Common Multiple (LCM) of 10254 and 10263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10254 and 10263. First we will calculate the prime factors of 10254 and 10263.

Prime Factorization of 10254

Prime Factorization of 10263

Now multiplying the highest exponent prime factors to calculate the LCM of 10254 and 10263.

LCM(10254,10263) = 2¹ × 3¹ × 1709¹ × 11¹ × 311¹
LCM(10254,10263) = 35078934