Least Common Multiple of 3283 and 3289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3283 and 3289 the smallest integer that is 10797787 that is divisible by both numbers.

Least Common Multiple (LCM) of 3283 and 3289 is 10797787.

LCM(3283,3289) = 10797787

LCM of 3283 and 3289

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

LCM of:
and

Least Common Multiple of 3283 and 3289

LCM of 3283 and 3289 is 10797787

Least common multiple can be found by multiplying the highest exponent prime factors of 3283 and 3289. First we will calculate the prime factors of 3283 and 3289.

Prime Factorization of 3283


7 3283
7 469
67 67
1

Prime factors of 3283 are 7,67. Prime factorization of 3283 in exponential form is:

3283 = 72×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3283 and 3289.

LCM(3283,3289) = 72×111×131×231×671
LCM(3283,3289) = 10797787

Factors of 3283

List of positive integer factors of 3283 that divides 3283 without a remainder.

1, 7, 49, 67, 469, 3283

Factors of 3289

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

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

Least Common Multiple of 3283 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 3283 and 3289, than apply into the LCM equation.

GCF(3283,3289) = 1
LCM(3283,3289) = ( 3283 × 3289) / 1
LCM(3283,3289) = 10797787 / 1
LCM(3283,3289) = 10797787

Properties of LCM 3283 and 3289

(i) The LCM of 3289 and 3283 is associative

LCM of 3283 and 3289 = LCM of 3289 and 3283

Related Least Common Multiples of 3283

Related Least Common Multiples of 3289

Frequently Asked Questions on LCM of 3283 and 3289

1. What is the LCM of 3283 and 3289?

Answer: LCM of 3283 and 3289 is 10797787.

2. What are the Factors of 3283?

Answer: Factors of 3283 are 1, 7, 49, 67, 469, 3283. There are 6 integers that are factors of 3283. The greatest factor of 3283 is 3283.

3. 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.

4. How to Find the LCM of 3283 and 3289?

Answer:

Least Common Multiple of 3283 and 3289 = 10797787

Step 1: Find the prime factorization of 3283

3283 = 7 x 7 x 67

Step 2: Find the prime factorization of 3289

3289 = 11 x 13 x 23

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

LCM = 10797787 = 7 x 7 x 11 x 13 x 23 x 67

Step 4: Therefore, the least common multiple of 3283 and 3289 is 10797787.