Least Common Multiple of 5261 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 5261 and 5268 the smallest integer that is 27714948 that is divisible by both numbers.

Least Common Multiple (LCM) of 5261 and 5268 is 27714948.

LCM(5261,5268) = 27714948

LCM of 5261 and 5268

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

LCM of:
and

Least Common Multiple of 5261 and 5268

LCM of 5261 and 5268 is 27714948

Least common multiple can be found by multiplying the highest exponent prime factors of 5261 and 5268. First we will calculate the prime factors of 5261 and 5268.

Prime Factorization of 5261


5261 5261
1

Prime factors of 5261 are 5261. Prime factorization of 5261 in exponential form is:

5261 = 52611

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 5261 and 5268.

LCM(5261,5268) = 22×31×4391×52611
LCM(5261,5268) = 27714948

Factors of 5261

List of positive integer factors of 5261 that divides 5261 without a remainder.

1, 5261

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 5261 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 5261 and 5268, than apply into the LCM equation.

GCF(5261,5268) = 1
LCM(5261,5268) = ( 5261 × 5268) / 1
LCM(5261,5268) = 27714948 / 1
LCM(5261,5268) = 27714948

Properties of LCM 5261 and 5268

(i) The LCM of 5268 and 5261 is associative

LCM of 5261 and 5268 = LCM of 5268 and 5261

Related Least Common Multiples of 5261

Related Least Common Multiples of 5268

Frequently Asked Questions on LCM of 5261 and 5268

1. What is the LCM of 5261 and 5268?

Answer: LCM of 5261 and 5268 is 27714948.

2. What are the Factors of 5261?

Answer: Factors of 5261 are 1, 5261. There are 2 integers that are factors of 5261. The greatest factor of 5261 is 5261.

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 5261 and 5268?

Answer:

Least Common Multiple of 5261 and 5268 = 27714948

Step 1: Find the prime factorization of 5261

5261 = 5261

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 = 27714948 = 2 x 2 x 3 x 439 x 5261

Step 4: Therefore, the least common multiple of 5261 and 5268 is 27714948.