Least Common Multiple of 9752 and 9760

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 9760 the smallest integer that is 11897440 that is divisible by both numbers.

Least Common Multiple (LCM) of 9752 and 9760 is 11897440.

LCM(9752,9760) = 11897440

LCM of 9752 and 9760

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

LCM of:
and

Least Common Multiple of 9752 and 9760

LCM of 9752 and 9760 is 11897440

Least common multiple can be found by multiplying the highest exponent prime factors of 9752 and 9760. First we will calculate the prime factors of 9752 and 9760.

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 9760


2 9760
2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 9760 are 2, 5,61. Prime factorization of 9760 in exponential form is:

9760 = 25×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9752 and 9760.

LCM(9752,9760) = 25×51×231×531×611
LCM(9752,9760) = 11897440

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 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760

Least Common Multiple of 9752 and 9760 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 9760, than apply into the LCM equation.

GCF(9752,9760) = 8
LCM(9752,9760) = ( 9752 × 9760) / 8
LCM(9752,9760) = 95179520 / 8
LCM(9752,9760) = 11897440

Properties of LCM 9752 and 9760

(i) The LCM of 9760 and 9752 is associative

LCM of 9752 and 9760 = LCM of 9760 and 9752

Related Least Common Multiples of 9752

Related Least Common Multiples of 9760

Frequently Asked Questions on LCM of 9752 and 9760

1. What is the LCM of 9752 and 9760?

Answer: LCM of 9752 and 9760 is 11897440.

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 9760?

Answer: Factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760. There are 24 integers that are factors of 9760. The greatest factor of 9760 is 9760.

4. How to Find the LCM of 9752 and 9760?

Answer:

Least Common Multiple of 9752 and 9760 = 11897440

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 9760

9760 = 2 x 2 x 2 x 2 x 2 x 5 x 61

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

LCM = 11897440 = 2 x 2 x 2 x 2 x 2 x 5 x 23 x 53 x 61

Step 4: Therefore, the least common multiple of 9752 and 9760 is 11897440.