Least Common Multiple of 7260 and 7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7260 and 7264 the smallest integer that is 13184160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7260 and 7264 is 13184160.

LCM(7260,7264) = 13184160

LCM of 7260 and 7264

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

LCM of:
and

Least Common Multiple of 7260 and 7264

LCM of 7260 and 7264 is 13184160

Least common multiple can be found by multiplying the highest exponent prime factors of 7260 and 7264. First we will calculate the prime factors of 7260 and 7264.

Prime Factorization of 7260


2 7260
2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 7260 are 2, 3, 5,11. Prime factorization of 7260 in exponential form is:

7260 = 22×31×51×112

Prime Factorization of 7264


2 7264
2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 7264 are 2,227. Prime factorization of 7264 in exponential form is:

7264 = 25×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7260 and 7264.

LCM(7260,7264) = 25×31×51×112×2271
LCM(7260,7264) = 13184160

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264

Least Common Multiple of 7260 and 7264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7260 and 7264, than apply into the LCM equation.

GCF(7260,7264) = 4
LCM(7260,7264) = ( 7260 × 7264) / 4
LCM(7260,7264) = 52736640 / 4
LCM(7260,7264) = 13184160

Properties of LCM 7260 and 7264

(i) The LCM of 7264 and 7260 is associative

LCM of 7260 and 7264 = LCM of 7264 and 7260

Related Least Common Multiples of 7260

Related Least Common Multiples of 7264

Frequently Asked Questions on LCM of 7260 and 7264

1. What is the LCM of 7260 and 7264?

Answer: LCM of 7260 and 7264 is 13184160.

2. What are the Factors of 7260?

Answer: Factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260. There are 36 integers that are factors of 7260. The greatest factor of 7260 is 7260.

3. What are the Factors of 7264?

Answer: Factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264. There are 12 integers that are factors of 7264. The greatest factor of 7264 is 7264.

4. How to Find the LCM of 7260 and 7264?

Answer:

Least Common Multiple of 7260 and 7264 = 13184160

Step 1: Find the prime factorization of 7260

7260 = 2 x 2 x 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 7264

7264 = 2 x 2 x 2 x 2 x 2 x 227

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

LCM = 13184160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 227

Step 4: Therefore, the least common multiple of 7260 and 7264 is 13184160.