Least Common Multiple of 9746 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 9746 and 9752 the smallest integer that is 47521496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9746 and 9752 is 47521496.

LCM(9746,9752) = 47521496

LCM of 9746 and 9752

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

LCM of:
and

Least Common Multiple of 9746 and 9752

LCM of 9746 and 9752 is 47521496

Least common multiple can be found by multiplying the highest exponent prime factors of 9746 and 9752. First we will calculate the prime factors of 9746 and 9752.

Prime Factorization of 9746


2 9746
11 4873
443 443
1

Prime factors of 9746 are 2, 11,443. Prime factorization of 9746 in exponential form is:

9746 = 21×111×4431

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 9746 and 9752.

LCM(9746,9752) = 23×111×231×531×4431
LCM(9746,9752) = 47521496

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1, 2, 11, 22, 443, 886, 4873, 9746

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 9746 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 9746 and 9752, than apply into the LCM equation.

GCF(9746,9752) = 2
LCM(9746,9752) = ( 9746 × 9752) / 2
LCM(9746,9752) = 95042992 / 2
LCM(9746,9752) = 47521496

Properties of LCM 9746 and 9752

(i) The LCM of 9752 and 9746 is associative

LCM of 9746 and 9752 = LCM of 9752 and 9746

Related Least Common Multiples of 9746

Related Least Common Multiples of 9752

Frequently Asked Questions on LCM of 9746 and 9752

1. What is the LCM of 9746 and 9752?

Answer: LCM of 9746 and 9752 is 47521496.

2. What are the Factors of 9746?

Answer: Factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746. There are 8 integers that are factors of 9746. The greatest factor of 9746 is 9746.

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 9746 and 9752?

Answer:

Least Common Multiple of 9746 and 9752 = 47521496

Step 1: Find the prime factorization of 9746

9746 = 2 x 11 x 443

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 = 47521496 = 2 x 2 x 2 x 11 x 23 x 53 x 443

Step 4: Therefore, the least common multiple of 9746 and 9752 is 47521496.