Least Common Multiple of 9741 and 9747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9741 and 9747 the smallest integer that is 31648509 that is divisible by both numbers.

Least Common Multiple (LCM) of 9741 and 9747 is 31648509.

LCM(9741,9747) = 31648509

LCM of 9741 and 9747

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

LCM of:
and

Least Common Multiple of 9741 and 9747

LCM of 9741 and 9747 is 31648509

Least common multiple can be found by multiplying the highest exponent prime factors of 9741 and 9747. First we will calculate the prime factors of 9741 and 9747.

Prime Factorization of 9741


3 9741
17 3247
191 191
1

Prime factors of 9741 are 3, 17,191. Prime factorization of 9741 in exponential form is:

9741 = 31×171×1911

Prime Factorization of 9747


3 9747
3 3249
3 1083
19 361
19 19
1

Prime factors of 9747 are 3,19. Prime factorization of 9747 in exponential form is:

9747 = 33×192

Now multiplying the highest exponent prime factors to calculate the LCM of 9741 and 9747.

LCM(9741,9747) = 33×171×192×1911
LCM(9741,9747) = 31648509

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1, 3, 17, 51, 191, 573, 3247, 9741

Factors of 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747

Least Common Multiple of 9741 and 9747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9741 and 9747, than apply into the LCM equation.

GCF(9741,9747) = 3
LCM(9741,9747) = ( 9741 × 9747) / 3
LCM(9741,9747) = 94945527 / 3
LCM(9741,9747) = 31648509

Properties of LCM 9741 and 9747

(i) The LCM of 9747 and 9741 is associative

LCM of 9741 and 9747 = LCM of 9747 and 9741

Related Least Common Multiples of 9741

Related Least Common Multiples of 9747

Frequently Asked Questions on LCM of 9741 and 9747

1. What is the LCM of 9741 and 9747?

Answer: LCM of 9741 and 9747 is 31648509.

2. What are the Factors of 9741?

Answer: Factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741. There are 8 integers that are factors of 9741. The greatest factor of 9741 is 9741.

3. What are the Factors of 9747?

Answer: Factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747. There are 12 integers that are factors of 9747. The greatest factor of 9747 is 9747.

4. How to Find the LCM of 9741 and 9747?

Answer:

Least Common Multiple of 9741 and 9747 = 31648509

Step 1: Find the prime factorization of 9741

9741 = 3 x 17 x 191

Step 2: Find the prime factorization of 9747

9747 = 3 x 3 x 3 x 19 x 19

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

LCM = 31648509 = 3 x 3 x 3 x 17 x 19 x 19 x 191

Step 4: Therefore, the least common multiple of 9741 and 9747 is 31648509.