Least Common Multiple of 3289 and 3294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3289 and 3294 the smallest integer that is 10833966 that is divisible by both numbers.

Least Common Multiple (LCM) of 3289 and 3294 is 10833966.

LCM(3289,3294) = 10833966

LCM of 3289 and 3294

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3289 and 3294

LCM of 3289 and 3294 is 10833966

Least common multiple can be found by multiplying the highest exponent prime factors of 3289 and 3294. First we will calculate the prime factors of 3289 and 3294.

Prime Factorization of 3289


11 3289
13 299
23 23
1

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

3289 = 111×131×231

Prime Factorization of 3294


2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 3294 are 2, 3,61. Prime factorization of 3294 in exponential form is:

3294 = 21×33×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3289 and 3294.

LCM(3289,3294) = 21×33×111×131×231×611
LCM(3289,3294) = 10833966

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1, 11, 13, 23, 143, 253, 299, 3289

Factors of 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294

Least Common Multiple of 3289 and 3294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3289 and 3294, than apply into the LCM equation.

GCF(3289,3294) = 1
LCM(3289,3294) = ( 3289 × 3294) / 1
LCM(3289,3294) = 10833966 / 1
LCM(3289,3294) = 10833966

Properties of LCM 3289 and 3294

(i) The LCM of 3294 and 3289 is associative

LCM of 3289 and 3294 = LCM of 3294 and 3289

Related Least Common Multiples of 3289

Related Least Common Multiples of 3294

Frequently Asked Questions on LCM of 3289 and 3294

1. What is the LCM of 3289 and 3294?

Answer: LCM of 3289 and 3294 is 10833966.

2. What are the Factors of 3289?

Answer: Factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289. There are 8 integers that are factors of 3289. The greatest factor of 3289 is 3289.

3. What are the Factors of 3294?

Answer: Factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294. There are 16 integers that are factors of 3294. The greatest factor of 3294 is 3294.

4. How to Find the LCM of 3289 and 3294?

Answer:

Least Common Multiple of 3289 and 3294 = 10833966

Step 1: Find the prime factorization of 3289

3289 = 11 x 13 x 23

Step 2: Find the prime factorization of 3294

3294 = 2 x 3 x 3 x 3 x 61

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10833966 = 2 x 3 x 3 x 3 x 11 x 13 x 23 x 61

Step 4: Therefore, the least common multiple of 3289 and 3294 is 10833966.