Least Common Multiple of 5260 and 5266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5260 and 5266 the smallest integer that is 13849580 that is divisible by both numbers.

Least Common Multiple (LCM) of 5260 and 5266 is 13849580.

LCM(5260,5266) = 13849580

LCM of 5260 and 5266

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

LCM of:
and

Least Common Multiple of 5260 and 5266

LCM of 5260 and 5266 is 13849580

Least common multiple can be found by multiplying the highest exponent prime factors of 5260 and 5266. First we will calculate the prime factors of 5260 and 5266.

Prime Factorization of 5260


2 5260
2 2630
5 1315
263 263
1

Prime factors of 5260 are 2, 5,263. Prime factorization of 5260 in exponential form is:

5260 = 22×51×2631

Prime Factorization of 5266


2 5266
2633 2633
1

Prime factors of 5266 are 2,2633. Prime factorization of 5266 in exponential form is:

5266 = 21×26331

Now multiplying the highest exponent prime factors to calculate the LCM of 5260 and 5266.

LCM(5260,5266) = 22×51×2631×26331
LCM(5260,5266) = 13849580

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1, 2, 2633, 5266

Least Common Multiple of 5260 and 5266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5260 and 5266, than apply into the LCM equation.

GCF(5260,5266) = 2
LCM(5260,5266) = ( 5260 × 5266) / 2
LCM(5260,5266) = 27699160 / 2
LCM(5260,5266) = 13849580

Properties of LCM 5260 and 5266

(i) The LCM of 5266 and 5260 is associative

LCM of 5260 and 5266 = LCM of 5266 and 5260

Related Least Common Multiples of 5260

Related Least Common Multiples of 5266

Frequently Asked Questions on LCM of 5260 and 5266

1. What is the LCM of 5260 and 5266?

Answer: LCM of 5260 and 5266 is 13849580.

2. What are the Factors of 5260?

Answer: Factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260. There are 12 integers that are factors of 5260. The greatest factor of 5260 is 5260.

3. What are the Factors of 5266?

Answer: Factors of 5266 are 1, 2, 2633, 5266. There are 4 integers that are factors of 5266. The greatest factor of 5266 is 5266.

4. How to Find the LCM of 5260 and 5266?

Answer:

Least Common Multiple of 5260 and 5266 = 13849580

Step 1: Find the prime factorization of 5260

5260 = 2 x 2 x 5 x 263

Step 2: Find the prime factorization of 5266

5266 = 2 x 2633

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

LCM = 13849580 = 2 x 2 x 5 x 263 x 2633

Step 4: Therefore, the least common multiple of 5260 and 5266 is 13849580.