GCF and LCM Calculator Logo

What is the Least Common Multiple of 3285 and 3289?

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 3285 and 3289 is 10804365.

LCM(3285,3289) = 10804365

LCM Calculator and
and

Least Common Multiple of 3285 and 3289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3285 and 3289, than apply into the LCM equation.

GCF(3285,3289) = 1
LCM(3285,3289) = ( 3285 × 3289) / 1
LCM(3285,3289) = 10804365 / 1
LCM(3285,3289) = 10804365

Least Common Multiple (LCM) of 3285 and 3289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3289. First we will calculate the prime factors of 3285 and 3289.

Prime Factorization of 3285

Prime factors of 3285 are 3, 5, 73. Prime factorization of 3285 in exponential form is:

3285 = 32 × 51 × 731

Prime Factorization of 3289

Prime factors of 3289 are 11, 13, 23. Prime factorization of 3289 in exponential form is:

3289 = 111 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3289.

LCM(3285,3289) = 32 × 51 × 731 × 111 × 131 × 231
LCM(3285,3289) = 10804365