Least Common Multiple of 5751 and 5757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5751 and 5757 the smallest integer that is 11036169 that is divisible by both numbers.

Least Common Multiple (LCM) of 5751 and 5757 is 11036169.

LCM(5751,5757) = 11036169

LCM of 5751 and 5757

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

LCM of:
and

Least Common Multiple of 5751 and 5757

LCM of 5751 and 5757 is 11036169

Least common multiple can be found by multiplying the highest exponent prime factors of 5751 and 5757. First we will calculate the prime factors of 5751 and 5757.

Prime Factorization of 5751


3 5751
3 1917
3 639
3 213
71 71
1

Prime factors of 5751 are 3,71. Prime factorization of 5751 in exponential form is:

5751 = 34×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5751 and 5757.

LCM(5751,5757) = 34×191×711×1011
LCM(5751,5757) = 11036169

Factors of 5751

List of positive integer factors of 5751 that divides 5751 without a remainder.

1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751

Factors of 5757

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

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

Least Common Multiple of 5751 and 5757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5751 and 5757, than apply into the LCM equation.

GCF(5751,5757) = 3
LCM(5751,5757) = ( 5751 × 5757) / 3
LCM(5751,5757) = 33108507 / 3
LCM(5751,5757) = 11036169

Properties of LCM 5751 and 5757

(i) The LCM of 5757 and 5751 is associative

LCM of 5751 and 5757 = LCM of 5757 and 5751

Related Least Common Multiples of 5751

Related Least Common Multiples of 5757

Frequently Asked Questions on LCM of 5751 and 5757

1. What is the LCM of 5751 and 5757?

Answer: LCM of 5751 and 5757 is 11036169.

2. What are the Factors of 5751?

Answer: Factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751. There are 10 integers that are factors of 5751. The greatest factor of 5751 is 5751.

3. 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.

4. How to Find the LCM of 5751 and 5757?

Answer:

Least Common Multiple of 5751 and 5757 = 11036169

Step 1: Find the prime factorization of 5751

5751 = 3 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 5757

5757 = 3 x 19 x 101

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

LCM = 11036169 = 3 x 3 x 3 x 3 x 19 x 71 x 101

Step 4: Therefore, the least common multiple of 5751 and 5757 is 11036169.