Least Common Multiple of 7260 and 7266

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 7266 the smallest integer that is 8791860 that is divisible by both numbers.

Least Common Multiple (LCM) of 7260 and 7266 is 8791860.

LCM(7260,7266) = 8791860

LCM of 7260 and 7266

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

LCM of:
and

Least Common Multiple of 7260 and 7266

LCM of 7260 and 7266 is 8791860

Least common multiple can be found by multiplying the highest exponent prime factors of 7260 and 7266. First we will calculate the prime factors of 7260 and 7266.

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 7266


2 7266
3 3633
7 1211
173 173
1

Prime factors of 7266 are 2, 3, 7,173. Prime factorization of 7266 in exponential form is:

7266 = 21×31×71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7260 and 7266.

LCM(7260,7266) = 22×31×51×71×112×1731
LCM(7260,7266) = 8791860

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 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266

Least Common Multiple of 7260 and 7266 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 7266, than apply into the LCM equation.

GCF(7260,7266) = 6
LCM(7260,7266) = ( 7260 × 7266) / 6
LCM(7260,7266) = 52751160 / 6
LCM(7260,7266) = 8791860

Properties of LCM 7260 and 7266

(i) The LCM of 7266 and 7260 is associative

LCM of 7260 and 7266 = LCM of 7266 and 7260

Related Least Common Multiples of 7260

Related Least Common Multiples of 7266

Frequently Asked Questions on LCM of 7260 and 7266

1. What is the LCM of 7260 and 7266?

Answer: LCM of 7260 and 7266 is 8791860.

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 7266?

Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.

4. How to Find the LCM of 7260 and 7266?

Answer:

Least Common Multiple of 7260 and 7266 = 8791860

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 7266

7266 = 2 x 3 x 7 x 173

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

LCM = 8791860 = 2 x 2 x 3 x 5 x 7 x 11 x 11 x 173

Step 4: Therefore, the least common multiple of 7260 and 7266 is 8791860.