Least Common Multiple of 5268 and 5275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5268 and 5275 the smallest integer that is 27788700 that is divisible by both numbers.

Least Common Multiple (LCM) of 5268 and 5275 is 27788700.

LCM(5268,5275) = 27788700

LCM of 5268 and 5275

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

LCM of:
and

Least Common Multiple of 5268 and 5275

LCM of 5268 and 5275 is 27788700

Least common multiple can be found by multiplying the highest exponent prime factors of 5268 and 5275. First we will calculate the prime factors of 5268 and 5275.

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

Prime Factorization of 5275


5 5275
5 1055
211 211
1

Prime factors of 5275 are 5,211. Prime factorization of 5275 in exponential form is:

5275 = 52×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5268 and 5275.

LCM(5268,5275) = 22×31×52×2111×4391
LCM(5268,5275) = 27788700

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

Factors of 5275

List of positive integer factors of 5275 that divides 5275 without a remainder.

1, 5, 25, 211, 1055, 5275

Least Common Multiple of 5268 and 5275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5268 and 5275, than apply into the LCM equation.

GCF(5268,5275) = 1
LCM(5268,5275) = ( 5268 × 5275) / 1
LCM(5268,5275) = 27788700 / 1
LCM(5268,5275) = 27788700

Properties of LCM 5268 and 5275

(i) The LCM of 5275 and 5268 is associative

LCM of 5268 and 5275 = LCM of 5275 and 5268

Related Least Common Multiples of 5268

Related Least Common Multiples of 5275

Frequently Asked Questions on LCM of 5268 and 5275

1. What is the LCM of 5268 and 5275?

Answer: LCM of 5268 and 5275 is 27788700.

2. 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.

3. What are the Factors of 5275?

Answer: Factors of 5275 are 1, 5, 25, 211, 1055, 5275. There are 6 integers that are factors of 5275. The greatest factor of 5275 is 5275.

4. How to Find the LCM of 5268 and 5275?

Answer:

Least Common Multiple of 5268 and 5275 = 27788700

Step 1: Find the prime factorization of 5268

5268 = 2 x 2 x 3 x 439

Step 2: Find the prime factorization of 5275

5275 = 5 x 5 x 211

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

LCM = 27788700 = 2 x 2 x 3 x 5 x 5 x 211 x 439

Step 4: Therefore, the least common multiple of 5268 and 5275 is 27788700.