Least Common Multiple of 5756 and 5763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5756 and 5763 the smallest integer that is 33171828 that is divisible by both numbers.

Least Common Multiple (LCM) of 5756 and 5763 is 33171828.

LCM(5756,5763) = 33171828

LCM of 5756 and 5763

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

LCM of:
and

Least Common Multiple of 5756 and 5763

LCM of 5756 and 5763 is 33171828

Least common multiple can be found by multiplying the highest exponent prime factors of 5756 and 5763. First we will calculate the prime factors of 5756 and 5763.

Prime Factorization of 5756


2 5756
2 2878
1439 1439
1

Prime factors of 5756 are 2,1439. Prime factorization of 5756 in exponential form is:

5756 = 22×14391

Prime Factorization of 5763


3 5763
17 1921
113 113
1

Prime factors of 5763 are 3, 17,113. Prime factorization of 5763 in exponential form is:

5763 = 31×171×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5756 and 5763.

LCM(5756,5763) = 22×31×171×1131×14391
LCM(5756,5763) = 33171828

Factors of 5756

List of positive integer factors of 5756 that divides 5756 without a remainder.

1, 2, 4, 1439, 2878, 5756

Factors of 5763

List of positive integer factors of 5763 that divides 5763 without a remainder.

1, 3, 17, 51, 113, 339, 1921, 5763

Least Common Multiple of 5756 and 5763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5756 and 5763, than apply into the LCM equation.

GCF(5756,5763) = 1
LCM(5756,5763) = ( 5756 × 5763) / 1
LCM(5756,5763) = 33171828 / 1
LCM(5756,5763) = 33171828

Properties of LCM 5756 and 5763

(i) The LCM of 5763 and 5756 is associative

LCM of 5756 and 5763 = LCM of 5763 and 5756

Related Least Common Multiples of 5756

Related Least Common Multiples of 5763

Frequently Asked Questions on LCM of 5756 and 5763

1. What is the LCM of 5756 and 5763?

Answer: LCM of 5756 and 5763 is 33171828.

2. What are the Factors of 5756?

Answer: Factors of 5756 are 1, 2, 4, 1439, 2878, 5756. There are 6 integers that are factors of 5756. The greatest factor of 5756 is 5756.

3. What are the Factors of 5763?

Answer: Factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763. There are 8 integers that are factors of 5763. The greatest factor of 5763 is 5763.

4. How to Find the LCM of 5756 and 5763?

Answer:

Least Common Multiple of 5756 and 5763 = 33171828

Step 1: Find the prime factorization of 5756

5756 = 2 x 2 x 1439

Step 2: Find the prime factorization of 5763

5763 = 3 x 17 x 113

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

LCM = 33171828 = 2 x 2 x 3 x 17 x 113 x 1439

Step 4: Therefore, the least common multiple of 5756 and 5763 is 33171828.