Least Common Multiple of 5763 and 5764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5763 and 5764 the smallest integer that is 33217932 that is divisible by both numbers.

Least Common Multiple (LCM) of 5763 and 5764 is 33217932.

LCM(5763,5764) = 33217932

LCM of 5763 and 5764

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

LCM of:
and

Least Common Multiple of 5763 and 5764

LCM of 5763 and 5764 is 33217932

Least common multiple can be found by multiplying the highest exponent prime factors of 5763 and 5764. First we will calculate the prime factors of 5763 and 5764.

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

Prime Factorization of 5764


2 5764
2 2882
11 1441
131 131
1

Prime factors of 5764 are 2, 11,131. Prime factorization of 5764 in exponential form is:

5764 = 22×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5763 and 5764.

LCM(5763,5764) = 22×31×111×171×1131×1311
LCM(5763,5764) = 33217932

Factors of 5763

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

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

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

Least Common Multiple of 5763 and 5764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5763 and 5764, than apply into the LCM equation.

GCF(5763,5764) = 1
LCM(5763,5764) = ( 5763 × 5764) / 1
LCM(5763,5764) = 33217932 / 1
LCM(5763,5764) = 33217932

Properties of LCM 5763 and 5764

(i) The LCM of 5764 and 5763 is associative

LCM of 5763 and 5764 = LCM of 5764 and 5763

Related Least Common Multiples of 5763

Related Least Common Multiples of 5764

Frequently Asked Questions on LCM of 5763 and 5764

1. What is the LCM of 5763 and 5764?

Answer: LCM of 5763 and 5764 is 33217932.

2. 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.

3. What are the Factors of 5764?

Answer: Factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764. There are 12 integers that are factors of 5764. The greatest factor of 5764 is 5764.

4. How to Find the LCM of 5763 and 5764?

Answer:

Least Common Multiple of 5763 and 5764 = 33217932

Step 1: Find the prime factorization of 5763

5763 = 3 x 17 x 113

Step 2: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

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

LCM = 33217932 = 2 x 2 x 3 x 11 x 17 x 113 x 131

Step 4: Therefore, the least common multiple of 5763 and 5764 is 33217932.