Least Common Multiple of 5741 and 5747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5741 and 5747 the smallest integer that is 32993527 that is divisible by both numbers.

Least Common Multiple (LCM) of 5741 and 5747 is 32993527.

LCM(5741,5747) = 32993527

LCM of 5741 and 5747

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

LCM of:
and

Least Common Multiple of 5741 and 5747

LCM of 5741 and 5747 is 32993527

Least common multiple can be found by multiplying the highest exponent prime factors of 5741 and 5747. First we will calculate the prime factors of 5741 and 5747.

Prime Factorization of 5741


5741 5741
1

Prime factors of 5741 are 5741. Prime factorization of 5741 in exponential form is:

5741 = 57411

Prime Factorization of 5747


7 5747
821 821
1

Prime factors of 5747 are 7,821. Prime factorization of 5747 in exponential form is:

5747 = 71×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 5741 and 5747.

LCM(5741,5747) = 71×8211×57411
LCM(5741,5747) = 32993527

Factors of 5741

List of positive integer factors of 5741 that divides 5741 without a remainder.

1, 5741

Factors of 5747

List of positive integer factors of 5747 that divides 5747 without a remainder.

1, 7, 821, 5747

Least Common Multiple of 5741 and 5747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5741 and 5747, than apply into the LCM equation.

GCF(5741,5747) = 1
LCM(5741,5747) = ( 5741 × 5747) / 1
LCM(5741,5747) = 32993527 / 1
LCM(5741,5747) = 32993527

Properties of LCM 5741 and 5747

(i) The LCM of 5747 and 5741 is associative

LCM of 5741 and 5747 = LCM of 5747 and 5741

Related Least Common Multiples of 5741

Related Least Common Multiples of 5747

Frequently Asked Questions on LCM of 5741 and 5747

1. What is the LCM of 5741 and 5747?

Answer: LCM of 5741 and 5747 is 32993527.

2. What are the Factors of 5741?

Answer: Factors of 5741 are 1, 5741. There are 2 integers that are factors of 5741. The greatest factor of 5741 is 5741.

3. What are the Factors of 5747?

Answer: Factors of 5747 are 1, 7, 821, 5747. There are 4 integers that are factors of 5747. The greatest factor of 5747 is 5747.

4. How to Find the LCM of 5741 and 5747?

Answer:

Least Common Multiple of 5741 and 5747 = 32993527

Step 1: Find the prime factorization of 5741

5741 = 5741

Step 2: Find the prime factorization of 5747

5747 = 7 x 821

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

LCM = 32993527 = 7 x 821 x 5741

Step 4: Therefore, the least common multiple of 5741 and 5747 is 32993527.