Least Common Multiple of 5757 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 5757 and 5764 the smallest integer that is 33183348 that is divisible by both numbers.

Least Common Multiple (LCM) of 5757 and 5764 is 33183348.

LCM(5757,5764) = 33183348

LCM of 5757 and 5764

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

LCM of:
and

Least Common Multiple of 5757 and 5764

LCM of 5757 and 5764 is 33183348

Least common multiple can be found by multiplying the highest exponent prime factors of 5757 and 5764. First we will calculate the prime factors of 5757 and 5764.

Prime Factorization of 5757


3 5757
19 1919
101 101
1

Prime factors of 5757 are 3, 19,101. Prime factorization of 5757 in exponential form is:

5757 = 31×191×1011

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 5757 and 5764.

LCM(5757,5764) = 22×31×111×191×1011×1311
LCM(5757,5764) = 33183348

Factors of 5757

List of positive integer factors of 5757 that divides 5757 without a remainder.

1, 3, 19, 57, 101, 303, 1919, 5757

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 5757 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 5757 and 5764, than apply into the LCM equation.

GCF(5757,5764) = 1
LCM(5757,5764) = ( 5757 × 5764) / 1
LCM(5757,5764) = 33183348 / 1
LCM(5757,5764) = 33183348

Properties of LCM 5757 and 5764

(i) The LCM of 5764 and 5757 is associative

LCM of 5757 and 5764 = LCM of 5764 and 5757

Related Least Common Multiples of 5757

Related Least Common Multiples of 5764

Frequently Asked Questions on LCM of 5757 and 5764

1. What is the LCM of 5757 and 5764?

Answer: LCM of 5757 and 5764 is 33183348.

2. What are the Factors of 5757?

Answer: Factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757. There are 8 integers that are factors of 5757. The greatest factor of 5757 is 5757.

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 5757 and 5764?

Answer:

Least Common Multiple of 5757 and 5764 = 33183348

Step 1: Find the prime factorization of 5757

5757 = 3 x 19 x 101

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 = 33183348 = 2 x 2 x 3 x 11 x 19 x 101 x 131

Step 4: Therefore, the least common multiple of 5757 and 5764 is 33183348.