Least Common Multiple of 9752 and 9758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9752 and 9758 the smallest integer that is 47580008 that is divisible by both numbers.

Least Common Multiple (LCM) of 9752 and 9758 is 47580008.

LCM(9752,9758) = 47580008

LCM of 9752 and 9758

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

LCM of:
and

Least Common Multiple of 9752 and 9758

LCM of 9752 and 9758 is 47580008

Least common multiple can be found by multiplying the highest exponent prime factors of 9752 and 9758. First we will calculate the prime factors of 9752 and 9758.

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

Prime Factorization of 9758


2 9758
7 4879
17 697
41 41
1

Prime factors of 9758 are 2, 7, 17,41. Prime factorization of 9758 in exponential form is:

9758 = 21×71×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9752 and 9758.

LCM(9752,9758) = 23×71×171×231×411×531
LCM(9752,9758) = 47580008

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

Factors of 9758

List of positive integer factors of 9758 that divides 9758 without a remainder.

1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758

Least Common Multiple of 9752 and 9758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9752 and 9758, than apply into the LCM equation.

GCF(9752,9758) = 2
LCM(9752,9758) = ( 9752 × 9758) / 2
LCM(9752,9758) = 95160016 / 2
LCM(9752,9758) = 47580008

Properties of LCM 9752 and 9758

(i) The LCM of 9758 and 9752 is associative

LCM of 9752 and 9758 = LCM of 9758 and 9752

Related Least Common Multiples of 9752

Related Least Common Multiples of 9758

Frequently Asked Questions on LCM of 9752 and 9758

1. What is the LCM of 9752 and 9758?

Answer: LCM of 9752 and 9758 is 47580008.

2. 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.

3. What are the Factors of 9758?

Answer: Factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758. There are 16 integers that are factors of 9758. The greatest factor of 9758 is 9758.

4. How to Find the LCM of 9752 and 9758?

Answer:

Least Common Multiple of 9752 and 9758 = 47580008

Step 1: Find the prime factorization of 9752

9752 = 2 x 2 x 2 x 23 x 53

Step 2: Find the prime factorization of 9758

9758 = 2 x 7 x 17 x 41

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

LCM = 47580008 = 2 x 2 x 2 x 7 x 17 x 23 x 41 x 53

Step 4: Therefore, the least common multiple of 9752 and 9758 is 47580008.