GCF and LCM Calculator Logo

What is the Least Common Multiple of 8275 and 8288?

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 8275 and 8288 is 68583200.

LCM(8275,8288) = 68583200

LCM Calculator and
and

Least Common Multiple of 8275 and 8288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8275 and 8288, than apply into the LCM equation.

GCF(8275,8288) = 1
LCM(8275,8288) = ( 8275 × 8288) / 1
LCM(8275,8288) = 68583200 / 1
LCM(8275,8288) = 68583200

Least Common Multiple (LCM) of 8275 and 8288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8275 and 8288. First we will calculate the prime factors of 8275 and 8288.

Prime Factorization of 8275

Prime factors of 8275 are 5, 331. Prime factorization of 8275 in exponential form is:

8275 = 52 × 3311

Prime Factorization of 8288

Prime factors of 8288 are 2, 7, 37. Prime factorization of 8288 in exponential form is:

8288 = 25 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 8275 and 8288.

LCM(8275,8288) = 52 × 3311 × 25 × 71 × 371
LCM(8275,8288) = 68583200