Least Common Multiple of 7252 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 7252 and 7260 the smallest integer that is 13162380 that is divisible by both numbers.

Least Common Multiple (LCM) of 7252 and 7260 is 13162380.

LCM(7252,7260) = 13162380

LCM of 7252 and 7260

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

LCM of:
and

Least Common Multiple of 7252 and 7260

LCM of 7252 and 7260 is 13162380

Least common multiple can be found by multiplying the highest exponent prime factors of 7252 and 7260. First we will calculate the prime factors of 7252 and 7260.

Prime Factorization of 7252


2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 7252 are 2, 7,37. Prime factorization of 7252 in exponential form is:

7252 = 22×72×371

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 7252 and 7260.

LCM(7252,7260) = 22×31×51×72×112×371
LCM(7252,7260) = 13162380

Factors of 7252

List of positive integer factors of 7252 that divides 7252 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

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 7252 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 7252 and 7260, than apply into the LCM equation.

GCF(7252,7260) = 4
LCM(7252,7260) = ( 7252 × 7260) / 4
LCM(7252,7260) = 52649520 / 4
LCM(7252,7260) = 13162380

Properties of LCM 7252 and 7260

(i) The LCM of 7260 and 7252 is associative

LCM of 7252 and 7260 = LCM of 7260 and 7252

Related Least Common Multiples of 7252

Related Least Common Multiples of 7260

Frequently Asked Questions on LCM of 7252 and 7260

1. What is the LCM of 7252 and 7260?

Answer: LCM of 7252 and 7260 is 13162380.

2. What are the Factors of 7252?

Answer: Factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252. There are 18 integers that are factors of 7252. The greatest factor of 7252 is 7252.

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 7252 and 7260?

Answer:

Least Common Multiple of 7252 and 7260 = 13162380

Step 1: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

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 = 13162380 = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 11 x 37

Step 4: Therefore, the least common multiple of 7252 and 7260 is 13162380.