Least Common Multiple of 5745 and 5751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5745 and 5751 the smallest integer that is 11013165 that is divisible by both numbers.

Least Common Multiple (LCM) of 5745 and 5751 is 11013165.

LCM(5745,5751) = 11013165

LCM of 5745 and 5751

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

LCM of:
and

Least Common Multiple of 5745 and 5751

LCM of 5745 and 5751 is 11013165

Least common multiple can be found by multiplying the highest exponent prime factors of 5745 and 5751. First we will calculate the prime factors of 5745 and 5751.

Prime Factorization of 5745


3 5745
5 1915
383 383
1

Prime factors of 5745 are 3, 5,383. Prime factorization of 5745 in exponential form is:

5745 = 31×51×3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5745 and 5751.

LCM(5745,5751) = 34×51×711×3831
LCM(5745,5751) = 11013165

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1, 3, 5, 15, 383, 1149, 1915, 5745

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

Least Common Multiple of 5745 and 5751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5745 and 5751, than apply into the LCM equation.

GCF(5745,5751) = 3
LCM(5745,5751) = ( 5745 × 5751) / 3
LCM(5745,5751) = 33039495 / 3
LCM(5745,5751) = 11013165

Properties of LCM 5745 and 5751

(i) The LCM of 5751 and 5745 is associative

LCM of 5745 and 5751 = LCM of 5751 and 5745

Related Least Common Multiples of 5745

Related Least Common Multiples of 5751

Frequently Asked Questions on LCM of 5745 and 5751

1. What is the LCM of 5745 and 5751?

Answer: LCM of 5745 and 5751 is 11013165.

2. What are the Factors of 5745?

Answer: Factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745. There are 8 integers that are factors of 5745. The greatest factor of 5745 is 5745.

3. 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.

4. How to Find the LCM of 5745 and 5751?

Answer:

Least Common Multiple of 5745 and 5751 = 11013165

Step 1: Find the prime factorization of 5745

5745 = 3 x 5 x 383

Step 2: Find the prime factorization of 5751

5751 = 3 x 3 x 3 x 3 x 71

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

LCM = 11013165 = 3 x 3 x 3 x 3 x 5 x 71 x 383

Step 4: Therefore, the least common multiple of 5745 and 5751 is 11013165.