Least Common Multiple of 9743 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 9743 and 9747 the smallest integer that is 94965021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9743 and 9747 is 94965021.

LCM(9743,9747) = 94965021

LCM of 9743 and 9747

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

LCM of:
and

Least Common Multiple of 9743 and 9747

LCM of 9743 and 9747 is 94965021

Least common multiple can be found by multiplying the highest exponent prime factors of 9743 and 9747. First we will calculate the prime factors of 9743 and 9747.

Prime Factorization of 9743


9743 9743
1

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

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 9743 and 9747.

LCM(9743,9747) = 33×192×97431
LCM(9743,9747) = 94965021

Factors of 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1, 9743

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 9743 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 9743 and 9747, than apply into the LCM equation.

GCF(9743,9747) = 1
LCM(9743,9747) = ( 9743 × 9747) / 1
LCM(9743,9747) = 94965021 / 1
LCM(9743,9747) = 94965021

Properties of LCM 9743 and 9747

(i) The LCM of 9747 and 9743 is associative

LCM of 9743 and 9747 = LCM of 9747 and 9743

Related Least Common Multiples of 9743

Related Least Common Multiples of 9747

Frequently Asked Questions on LCM of 9743 and 9747

1. What is the LCM of 9743 and 9747?

Answer: LCM of 9743 and 9747 is 94965021.

2. What are the Factors of 9743?

Answer: Factors of 9743 are 1, 9743. There are 2 integers that are factors of 9743. The greatest factor of 9743 is 9743.

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 9743 and 9747?

Answer:

Least Common Multiple of 9743 and 9747 = 94965021

Step 1: Find the prime factorization of 9743

9743 = 9743

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 = 94965021 = 3 x 3 x 3 x 19 x 19 x 9743

Step 4: Therefore, the least common multiple of 9743 and 9747 is 94965021.