Least Common Multiple of 9752 and 9759

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 9759 the smallest integer that is 95169768 that is divisible by both numbers.

Least Common Multiple (LCM) of 9752 and 9759 is 95169768.

LCM(9752,9759) = 95169768

LCM of 9752 and 9759

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

LCM of:
and

Least Common Multiple of 9752 and 9759

LCM of 9752 and 9759 is 95169768

Least common multiple can be found by multiplying the highest exponent prime factors of 9752 and 9759. First we will calculate the prime factors of 9752 and 9759.

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 9759


3 9759
3253 3253
1

Prime factors of 9759 are 3,3253. Prime factorization of 9759 in exponential form is:

9759 = 31×32531

Now multiplying the highest exponent prime factors to calculate the LCM of 9752 and 9759.

LCM(9752,9759) = 23×31×231×531×32531
LCM(9752,9759) = 95169768

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 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1, 3, 3253, 9759

Least Common Multiple of 9752 and 9759 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 9759, than apply into the LCM equation.

GCF(9752,9759) = 1
LCM(9752,9759) = ( 9752 × 9759) / 1
LCM(9752,9759) = 95169768 / 1
LCM(9752,9759) = 95169768

Properties of LCM 9752 and 9759

(i) The LCM of 9759 and 9752 is associative

LCM of 9752 and 9759 = LCM of 9759 and 9752

Related Least Common Multiples of 9752

Related Least Common Multiples of 9759

Frequently Asked Questions on LCM of 9752 and 9759

1. What is the LCM of 9752 and 9759?

Answer: LCM of 9752 and 9759 is 95169768.

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 9759?

Answer: Factors of 9759 are 1, 3, 3253, 9759. There are 4 integers that are factors of 9759. The greatest factor of 9759 is 9759.

4. How to Find the LCM of 9752 and 9759?

Answer:

Least Common Multiple of 9752 and 9759 = 95169768

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 9759

9759 = 3 x 3253

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

LCM = 95169768 = 2 x 2 x 2 x 3 x 23 x 53 x 3253

Step 4: Therefore, the least common multiple of 9752 and 9759 is 95169768.