Least Common Multiple of 9747 and 9752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9747 and 9752 the smallest integer that is 95052744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9747 and 9752 is 95052744.

LCM(9747,9752) = 95052744

LCM of 9747 and 9752

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

LCM of:
and

Least Common Multiple of 9747 and 9752

LCM of 9747 and 9752 is 95052744

Least common multiple can be found by multiplying the highest exponent prime factors of 9747 and 9752. First we will calculate the prime factors of 9747 and 9752.

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

Prime Factorization of 9752


2 9752
2 4876
2 2438
23 1219
53 53
1

Prime factors of 9752 are 2, 23,53. Prime factorization of 9752 in exponential form is:

9752 = 23×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9747 and 9752.

LCM(9747,9752) = 23×33×192×231×531
LCM(9747,9752) = 95052744

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

Factors of 9752

List of positive integer factors of 9752 that divides 9752 without a remainder.

1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752

Least Common Multiple of 9747 and 9752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9747 and 9752, than apply into the LCM equation.

GCF(9747,9752) = 1
LCM(9747,9752) = ( 9747 × 9752) / 1
LCM(9747,9752) = 95052744 / 1
LCM(9747,9752) = 95052744

Properties of LCM 9747 and 9752

(i) The LCM of 9752 and 9747 is associative

LCM of 9747 and 9752 = LCM of 9752 and 9747

Related Least Common Multiples of 9747

Related Least Common Multiples of 9752

Frequently Asked Questions on LCM of 9747 and 9752

1. What is the LCM of 9747 and 9752?

Answer: LCM of 9747 and 9752 is 95052744.

2. 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.

3. What are the Factors of 9752?

Answer: Factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752. There are 16 integers that are factors of 9752. The greatest factor of 9752 is 9752.

4. How to Find the LCM of 9747 and 9752?

Answer:

Least Common Multiple of 9747 and 9752 = 95052744

Step 1: Find the prime factorization of 9747

9747 = 3 x 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 9752

9752 = 2 x 2 x 2 x 23 x 53

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

LCM = 95052744 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 19 x 23 x 53

Step 4: Therefore, the least common multiple of 9747 and 9752 is 95052744.