Least Common Multiple of 9746 and 9753

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 9753 the smallest integer that is 95052738 that is divisible by both numbers.

Least Common Multiple (LCM) of 9746 and 9753 is 95052738.

LCM(9746,9753) = 95052738

LCM of 9746 and 9753

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

LCM of:
and

Least Common Multiple of 9746 and 9753

LCM of 9746 and 9753 is 95052738

Least common multiple can be found by multiplying the highest exponent prime factors of 9746 and 9753. First we will calculate the prime factors of 9746 and 9753.

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 9753


3 9753
3251 3251
1

Prime factors of 9753 are 3,3251. Prime factorization of 9753 in exponential form is:

9753 = 31×32511

Now multiplying the highest exponent prime factors to calculate the LCM of 9746 and 9753.

LCM(9746,9753) = 21×31×111×4431×32511
LCM(9746,9753) = 95052738

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 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1, 3, 3251, 9753

Least Common Multiple of 9746 and 9753 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 9753, than apply into the LCM equation.

GCF(9746,9753) = 1
LCM(9746,9753) = ( 9746 × 9753) / 1
LCM(9746,9753) = 95052738 / 1
LCM(9746,9753) = 95052738

Properties of LCM 9746 and 9753

(i) The LCM of 9753 and 9746 is associative

LCM of 9746 and 9753 = LCM of 9753 and 9746

Related Least Common Multiples of 9746

Related Least Common Multiples of 9753

Frequently Asked Questions on LCM of 9746 and 9753

1. What is the LCM of 9746 and 9753?

Answer: LCM of 9746 and 9753 is 95052738.

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 9753?

Answer: Factors of 9753 are 1, 3, 3251, 9753. There are 4 integers that are factors of 9753. The greatest factor of 9753 is 9753.

4. How to Find the LCM of 9746 and 9753?

Answer:

Least Common Multiple of 9746 and 9753 = 95052738

Step 1: Find the prime factorization of 9746

9746 = 2 x 11 x 443

Step 2: Find the prime factorization of 9753

9753 = 3 x 3251

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

LCM = 95052738 = 2 x 3 x 11 x 443 x 3251

Step 4: Therefore, the least common multiple of 9746 and 9753 is 95052738.