GCF and LCM Calculator Logo

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 (LCM) of 10275 and 10284 is 35222700.

LCM(10275,10284) = 35222700

LCM Calculator and
and

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 factors of 10275 are 3, 5, 137. Prime factorization of 10275 in exponential form is:

10275 = 31 × 52 × 1371

Prime Factorization of 10284

Prime factors of 10284 are 2, 3, 857. Prime factorization of 10284 in exponential form is:

10284 = 22 × 31 × 8571

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