Least Common Multiple of 3264 and 3269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3264 and 3269 the smallest integer that is 10670016 that is divisible by both numbers.

Least Common Multiple (LCM) of 3264 and 3269 is 10670016.

LCM(3264,3269) = 10670016

LCM of 3264 and 3269

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

LCM of:
and

Least Common Multiple of 3264 and 3269

LCM of 3264 and 3269 is 10670016

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3269. First we will calculate the prime factors of 3264 and 3269.

Prime Factorization of 3264


2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 3264 are 2, 3,17. Prime factorization of 3264 in exponential form is:

3264 = 26×31×171

Prime Factorization of 3269


7 3269
467 467
1

Prime factors of 3269 are 7,467. Prime factorization of 3269 in exponential form is:

3269 = 71×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3269.

LCM(3264,3269) = 26×31×71×171×4671
LCM(3264,3269) = 10670016

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264

Factors of 3269

List of positive integer factors of 3269 that divides 3269 without a remainder.

1, 7, 467, 3269

Least Common Multiple of 3264 and 3269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3264 and 3269, than apply into the LCM equation.

GCF(3264,3269) = 1
LCM(3264,3269) = ( 3264 × 3269) / 1
LCM(3264,3269) = 10670016 / 1
LCM(3264,3269) = 10670016

Properties of LCM 3264 and 3269

(i) The LCM of 3269 and 3264 is associative

LCM of 3264 and 3269 = LCM of 3269 and 3264

Related Least Common Multiples of 3264

Related Least Common Multiples of 3269

Frequently Asked Questions on LCM of 3264 and 3269

1. What is the LCM of 3264 and 3269?

Answer: LCM of 3264 and 3269 is 10670016.

2. What are the Factors of 3264?

Answer: Factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. There are 28 integers that are factors of 3264. The greatest factor of 3264 is 3264.

3. What are the Factors of 3269?

Answer: Factors of 3269 are 1, 7, 467, 3269. There are 4 integers that are factors of 3269. The greatest factor of 3269 is 3269.

4. How to Find the LCM of 3264 and 3269?

Answer:

Least Common Multiple of 3264 and 3269 = 10670016

Step 1: Find the prime factorization of 3264

3264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

Step 2: Find the prime factorization of 3269

3269 = 7 x 467

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

LCM = 10670016 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 467

Step 4: Therefore, the least common multiple of 3264 and 3269 is 10670016.