Least Common Multiple of 260 and 264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 260 and 264 the smallest integer that is 17160 that is divisible by both numbers.

Least Common Multiple (LCM) of 260 and 264 is 17160.

LCM(260,264) = 17160

LCM of 260 and 264

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

LCM of:
and

Least Common Multiple of 260 and 264

LCM of 260 and 264 is 17160

Least common multiple can be found by multiplying the highest exponent prime factors of 260 and 264. First we will calculate the prime factors of 260 and 264.

Prime Factorization of 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Prime Factorization of 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2, 3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 260 and 264.

LCM(260,264) = 23×31×51×111×131
LCM(260,264) = 17160

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Least Common Multiple of 260 and 264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 264, than apply into the LCM equation.

GCF(260,264) = 4
LCM(260,264) = ( 260 × 264) / 4
LCM(260,264) = 68640 / 4
LCM(260,264) = 17160

Properties of LCM 260 and 264

(i) The LCM of 264 and 260 is associative

LCM of 260 and 264 = LCM of 264 and 260

Related Least Common Multiples of 260

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 260 and 264

1. What is the LCM of 260 and 264?

Answer: LCM of 260 and 264 is 17160.

2. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

3. What are the Factors of 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

4. How to Find the LCM of 260 and 264?

Answer:

Least Common Multiple of 260 and 264 = 17160

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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

LCM = 17160 = 2 x 2 x 2 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 260 and 264 is 17160.