Least Common Multiple of 9748 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 9748 and 9752 the smallest integer that is 23765624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9748 and 9752 is 23765624.

LCM(9748,9752) = 23765624

LCM of 9748 and 9752

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

LCM of:
and

Least Common Multiple of 9748 and 9752

LCM of 9748 and 9752 is 23765624

Least common multiple can be found by multiplying the highest exponent prime factors of 9748 and 9752. First we will calculate the prime factors of 9748 and 9752.

Prime Factorization of 9748


2 9748
2 4874
2437 2437
1

Prime factors of 9748 are 2,2437. Prime factorization of 9748 in exponential form is:

9748 = 22×24371

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 9748 and 9752.

LCM(9748,9752) = 23×231×531×24371
LCM(9748,9752) = 23765624

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1, 2, 4, 2437, 4874, 9748

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 9748 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 9748 and 9752, than apply into the LCM equation.

GCF(9748,9752) = 4
LCM(9748,9752) = ( 9748 × 9752) / 4
LCM(9748,9752) = 95062496 / 4
LCM(9748,9752) = 23765624

Properties of LCM 9748 and 9752

(i) The LCM of 9752 and 9748 is associative

LCM of 9748 and 9752 = LCM of 9752 and 9748

Related Least Common Multiples of 9748

Related Least Common Multiples of 9752

Frequently Asked Questions on LCM of 9748 and 9752

1. What is the LCM of 9748 and 9752?

Answer: LCM of 9748 and 9752 is 23765624.

2. What are the Factors of 9748?

Answer: Factors of 9748 are 1, 2, 4, 2437, 4874, 9748. There are 6 integers that are factors of 9748. The greatest factor of 9748 is 9748.

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 9748 and 9752?

Answer:

Least Common Multiple of 9748 and 9752 = 23765624

Step 1: Find the prime factorization of 9748

9748 = 2 x 2 x 2437

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 = 23765624 = 2 x 2 x 2 x 23 x 53 x 2437

Step 4: Therefore, the least common multiple of 9748 and 9752 is 23765624.