Least Common Multiple of 9743 and 9746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9743 and 9746 the smallest integer that is 94955278 that is divisible by both numbers.

Least Common Multiple (LCM) of 9743 and 9746 is 94955278.

LCM(9743,9746) = 94955278

LCM of 9743 and 9746

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

LCM of:
and

Least Common Multiple of 9743 and 9746

LCM of 9743 and 9746 is 94955278

Least common multiple can be found by multiplying the highest exponent prime factors of 9743 and 9746. First we will calculate the prime factors of 9743 and 9746.

Prime Factorization of 9743


9743 9743
1

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9743 and 9746.

LCM(9743,9746) = 21×111×4431×97431
LCM(9743,9746) = 94955278

Factors of 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1, 9743

Factors of 9746

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

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

Least Common Multiple of 9743 and 9746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9743 and 9746, than apply into the LCM equation.

GCF(9743,9746) = 1
LCM(9743,9746) = ( 9743 × 9746) / 1
LCM(9743,9746) = 94955278 / 1
LCM(9743,9746) = 94955278

Properties of LCM 9743 and 9746

(i) The LCM of 9746 and 9743 is associative

LCM of 9743 and 9746 = LCM of 9746 and 9743

Related Least Common Multiples of 9743

Related Least Common Multiples of 9746

Frequently Asked Questions on LCM of 9743 and 9746

1. What is the LCM of 9743 and 9746?

Answer: LCM of 9743 and 9746 is 94955278.

2. What are the Factors of 9743?

Answer: Factors of 9743 are 1, 9743. There are 2 integers that are factors of 9743. The greatest factor of 9743 is 9743.

3. 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.

4. How to Find the LCM of 9743 and 9746?

Answer:

Least Common Multiple of 9743 and 9746 = 94955278

Step 1: Find the prime factorization of 9743

9743 = 9743

Step 2: Find the prime factorization of 9746

9746 = 2 x 11 x 443

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

LCM = 94955278 = 2 x 11 x 443 x 9743

Step 4: Therefore, the least common multiple of 9743 and 9746 is 94955278.