Least Common Multiple of 3260 and 3264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3260 and 3264 the smallest integer that is 2660160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3260 and 3264 is 2660160.

LCM(3260,3264) = 2660160

LCM of 3260 and 3264

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

LCM of:
and

Least Common Multiple of 3260 and 3264

LCM of 3260 and 3264 is 2660160

Least common multiple can be found by multiplying the highest exponent prime factors of 3260 and 3264. First we will calculate the prime factors of 3260 and 3264.

Prime Factorization of 3260


2 3260
2 1630
5 815
163 163
1

Prime factors of 3260 are 2, 5,163. Prime factorization of 3260 in exponential form is:

3260 = 22×51×1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3260 and 3264.

LCM(3260,3264) = 26×31×51×171×1631
LCM(3260,3264) = 2660160

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260

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

Least Common Multiple of 3260 and 3264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3260 and 3264, than apply into the LCM equation.

GCF(3260,3264) = 4
LCM(3260,3264) = ( 3260 × 3264) / 4
LCM(3260,3264) = 10640640 / 4
LCM(3260,3264) = 2660160

Properties of LCM 3260 and 3264

(i) The LCM of 3264 and 3260 is associative

LCM of 3260 and 3264 = LCM of 3264 and 3260

Related Least Common Multiples of 3260

Related Least Common Multiples of 3264

Frequently Asked Questions on LCM of 3260 and 3264

1. What is the LCM of 3260 and 3264?

Answer: LCM of 3260 and 3264 is 2660160.

2. What are the Factors of 3260?

Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.

3. 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.

4. How to Find the LCM of 3260 and 3264?

Answer:

Least Common Multiple of 3260 and 3264 = 2660160

Step 1: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

Step 2: Find the prime factorization of 3264

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

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

LCM = 2660160 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 163

Step 4: Therefore, the least common multiple of 3260 and 3264 is 2660160.