Least Common Multiple of 5263 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 5263 and 5268 the smallest integer that is 27725484 that is divisible by both numbers.

Least Common Multiple (LCM) of 5263 and 5268 is 27725484.

LCM(5263,5268) = 27725484

LCM of 5263 and 5268

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

LCM of:
and

Least Common Multiple of 5263 and 5268

LCM of 5263 and 5268 is 27725484

Least common multiple can be found by multiplying the highest exponent prime factors of 5263 and 5268. First we will calculate the prime factors of 5263 and 5268.

Prime Factorization of 5263


19 5263
277 277
1

Prime factors of 5263 are 19,277. Prime factorization of 5263 in exponential form is:

5263 = 191×2771

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 5263 and 5268.

LCM(5263,5268) = 22×31×191×2771×4391
LCM(5263,5268) = 27725484

Factors of 5263

List of positive integer factors of 5263 that divides 5263 without a remainder.

1, 19, 277, 5263

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 5263 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 5263 and 5268, than apply into the LCM equation.

GCF(5263,5268) = 1
LCM(5263,5268) = ( 5263 × 5268) / 1
LCM(5263,5268) = 27725484 / 1
LCM(5263,5268) = 27725484

Properties of LCM 5263 and 5268

(i) The LCM of 5268 and 5263 is associative

LCM of 5263 and 5268 = LCM of 5268 and 5263

Related Least Common Multiples of 5263

Related Least Common Multiples of 5268

Frequently Asked Questions on LCM of 5263 and 5268

1. What is the LCM of 5263 and 5268?

Answer: LCM of 5263 and 5268 is 27725484.

2. What are the Factors of 5263?

Answer: Factors of 5263 are 1, 19, 277, 5263. There are 4 integers that are factors of 5263. The greatest factor of 5263 is 5263.

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 5263 and 5268?

Answer:

Least Common Multiple of 5263 and 5268 = 27725484

Step 1: Find the prime factorization of 5263

5263 = 19 x 277

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 = 27725484 = 2 x 2 x 3 x 19 x 277 x 439

Step 4: Therefore, the least common multiple of 5263 and 5268 is 27725484.