Least Common Multiple of 7260 and 7265

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 7265 the smallest integer that is 10548780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7260 and 7265 is 10548780.

LCM(7260,7265) = 10548780

LCM of 7260 and 7265

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

LCM of:
and

Least Common Multiple of 7260 and 7265

LCM of 7260 and 7265 is 10548780

Least common multiple can be found by multiplying the highest exponent prime factors of 7260 and 7265. First we will calculate the prime factors of 7260 and 7265.

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 7265


5 7265
1453 1453
1

Prime factors of 7265 are 5,1453. Prime factorization of 7265 in exponential form is:

7265 = 51×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 7260 and 7265.

LCM(7260,7265) = 22×31×51×112×14531
LCM(7260,7265) = 10548780

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 7265

List of positive integer factors of 7265 that divides 7265 without a remainder.

1, 5, 1453, 7265

Least Common Multiple of 7260 and 7265 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 7265, than apply into the LCM equation.

GCF(7260,7265) = 5
LCM(7260,7265) = ( 7260 × 7265) / 5
LCM(7260,7265) = 52743900 / 5
LCM(7260,7265) = 10548780

Properties of LCM 7260 and 7265

(i) The LCM of 7265 and 7260 is associative

LCM of 7260 and 7265 = LCM of 7265 and 7260

Related Least Common Multiples of 7260

Related Least Common Multiples of 7265

Frequently Asked Questions on LCM of 7260 and 7265

1. What is the LCM of 7260 and 7265?

Answer: LCM of 7260 and 7265 is 10548780.

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 7265?

Answer: Factors of 7265 are 1, 5, 1453, 7265. There are 4 integers that are factors of 7265. The greatest factor of 7265 is 7265.

4. How to Find the LCM of 7260 and 7265?

Answer:

Least Common Multiple of 7260 and 7265 = 10548780

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 7265

7265 = 5 x 1453

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

LCM = 10548780 = 2 x 2 x 3 x 5 x 11 x 11 x 1453

Step 4: Therefore, the least common multiple of 7260 and 7265 is 10548780.