What is the Least Common Multiple of 10275 and 10284?

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 10275 and 10284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10275 and 10284, than apply into the LCM equation.

GCF(10275,10284) = 3
LCM(10275,10284) = ( 10275 × 10284) / 3
LCM(10275,10284) = 105668100 / 3
LCM(10275,10284) = 35222700

Least Common Multiple (LCM) of 10275 and 10284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10275 and 10284. First we will calculate the prime factors of 10275 and 10284.

Prime Factorization of 10275

Prime Factorization of 10284

Now multiplying the highest exponent prime factors to calculate the LCM of 10275 and 10284.

LCM(10275,10284) = 3¹ × 5² × 137¹ × 2² × 857¹
LCM(10275,10284) = 35222700