Least Common Multiple of 7255 and 7260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7255 and 7260 the smallest integer that is 10534260 that is divisible by both numbers.

Least Common Multiple (LCM) of 7255 and 7260 is 10534260.

LCM(7255,7260) = 10534260

LCM of 7255 and 7260

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

LCM of:
and

Least Common Multiple of 7255 and 7260

LCM of 7255 and 7260 is 10534260

Least common multiple can be found by multiplying the highest exponent prime factors of 7255 and 7260. First we will calculate the prime factors of 7255 and 7260.

Prime Factorization of 7255


5 7255
1451 1451
1

Prime factors of 7255 are 5,1451. Prime factorization of 7255 in exponential form is:

7255 = 51×14511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7255 and 7260.

LCM(7255,7260) = 22×31×51×112×14511
LCM(7255,7260) = 10534260

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1, 5, 1451, 7255

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

Least Common Multiple of 7255 and 7260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7255 and 7260, than apply into the LCM equation.

GCF(7255,7260) = 5
LCM(7255,7260) = ( 7255 × 7260) / 5
LCM(7255,7260) = 52671300 / 5
LCM(7255,7260) = 10534260

Properties of LCM 7255 and 7260

(i) The LCM of 7260 and 7255 is associative

LCM of 7255 and 7260 = LCM of 7260 and 7255

Related Least Common Multiples of 7255

Related Least Common Multiples of 7260

Frequently Asked Questions on LCM of 7255 and 7260

1. What is the LCM of 7255 and 7260?

Answer: LCM of 7255 and 7260 is 10534260.

2. What are the Factors of 7255?

Answer: Factors of 7255 are 1, 5, 1451, 7255. There are 4 integers that are factors of 7255. The greatest factor of 7255 is 7255.

3. 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.

4. How to Find the LCM of 7255 and 7260?

Answer:

Least Common Multiple of 7255 and 7260 = 10534260

Step 1: Find the prime factorization of 7255

7255 = 5 x 1451

Step 2: Find the prime factorization of 7260

7260 = 2 x 2 x 3 x 5 x 11 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 = 10534260 = 2 x 2 x 3 x 5 x 11 x 11 x 1451

Step 4: Therefore, the least common multiple of 7255 and 7260 is 10534260.