Least Common Multiple of 5256 and 5261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5256 and 5261 the smallest integer that is 27651816 that is divisible by both numbers.

Least Common Multiple (LCM) of 5256 and 5261 is 27651816.

LCM(5256,5261) = 27651816

LCM of 5256 and 5261

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

LCM of:
and

Least Common Multiple of 5256 and 5261

LCM of 5256 and 5261 is 27651816

Least common multiple can be found by multiplying the highest exponent prime factors of 5256 and 5261. First we will calculate the prime factors of 5256 and 5261.

Prime Factorization of 5256


2 5256
2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 5256 are 2, 3,73. Prime factorization of 5256 in exponential form is:

5256 = 23×32×731

Prime Factorization of 5261


5261 5261
1

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

5261 = 52611

Now multiplying the highest exponent prime factors to calculate the LCM of 5256 and 5261.

LCM(5256,5261) = 23×32×731×52611
LCM(5256,5261) = 27651816

Factors of 5256

List of positive integer factors of 5256 that divides 5256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256

Factors of 5261

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

1, 5261

Least Common Multiple of 5256 and 5261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5256 and 5261, than apply into the LCM equation.

GCF(5256,5261) = 1
LCM(5256,5261) = ( 5256 × 5261) / 1
LCM(5256,5261) = 27651816 / 1
LCM(5256,5261) = 27651816

Properties of LCM 5256 and 5261

(i) The LCM of 5261 and 5256 is associative

LCM of 5256 and 5261 = LCM of 5261 and 5256

Related Least Common Multiples of 5256

Related Least Common Multiples of 5261

Frequently Asked Questions on LCM of 5256 and 5261

1. What is the LCM of 5256 and 5261?

Answer: LCM of 5256 and 5261 is 27651816.

2. What are the Factors of 5256?

Answer: Factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256. There are 24 integers that are factors of 5256. The greatest factor of 5256 is 5256.

3. 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.

4. How to Find the LCM of 5256 and 5261?

Answer:

Least Common Multiple of 5256 and 5261 = 27651816

Step 1: Find the prime factorization of 5256

5256 = 2 x 2 x 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 5261

5261 = 5261

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

LCM = 27651816 = 2 x 2 x 2 x 3 x 3 x 73 x 5261

Step 4: Therefore, the least common multiple of 5256 and 5261 is 27651816.