Least Common Multiple of 5260 and 5268

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 5268 the smallest integer that is 6927420 that is divisible by both numbers.

Least Common Multiple (LCM) of 5260 and 5268 is 6927420.

LCM(5260,5268) = 6927420

LCM of 5260 and 5268

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

LCM of:
and

Least Common Multiple of 5260 and 5268

LCM of 5260 and 5268 is 6927420

Least common multiple can be found by multiplying the highest exponent prime factors of 5260 and 5268. First we will calculate the prime factors of 5260 and 5268.

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 5268


2 5268
2 2634
3 1317
439 439
1

Prime factors of 5268 are 2, 3,439. Prime factorization of 5268 in exponential form is:

5268 = 22×31×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 5260 and 5268.

LCM(5260,5268) = 22×31×51×2631×4391
LCM(5260,5268) = 6927420

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 5268

List of positive integer factors of 5268 that divides 5268 without a remainder.

1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268

Least Common Multiple of 5260 and 5268 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 5268, than apply into the LCM equation.

GCF(5260,5268) = 4
LCM(5260,5268) = ( 5260 × 5268) / 4
LCM(5260,5268) = 27709680 / 4
LCM(5260,5268) = 6927420

Properties of LCM 5260 and 5268

(i) The LCM of 5268 and 5260 is associative

LCM of 5260 and 5268 = LCM of 5268 and 5260

Related Least Common Multiples of 5260

Related Least Common Multiples of 5268

Frequently Asked Questions on LCM of 5260 and 5268

1. What is the LCM of 5260 and 5268?

Answer: LCM of 5260 and 5268 is 6927420.

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 5268?

Answer: Factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268. There are 12 integers that are factors of 5268. The greatest factor of 5268 is 5268.

4. How to Find the LCM of 5260 and 5268?

Answer:

Least Common Multiple of 5260 and 5268 = 6927420

Step 1: Find the prime factorization of 5260

5260 = 2 x 2 x 5 x 263

Step 2: Find the prime factorization of 5268

5268 = 2 x 2 x 3 x 439

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

LCM = 6927420 = 2 x 2 x 3 x 5 x 263 x 439

Step 4: Therefore, the least common multiple of 5260 and 5268 is 6927420.