Least Common Multiple of 9739 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 9739 and 9746 the smallest integer that is 94916294 that is divisible by both numbers.

Least Common Multiple (LCM) of 9739 and 9746 is 94916294.

LCM(9739,9746) = 94916294

LCM of 9739 and 9746

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

LCM of:
and

Least Common Multiple of 9739 and 9746

LCM of 9739 and 9746 is 94916294

Least common multiple can be found by multiplying the highest exponent prime factors of 9739 and 9746. First we will calculate the prime factors of 9739 and 9746.

Prime Factorization of 9739


9739 9739
1

Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:

9739 = 97391

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 9739 and 9746.

LCM(9739,9746) = 21×111×4431×97391
LCM(9739,9746) = 94916294

Factors of 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1, 9739

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 9739 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 9739 and 9746, than apply into the LCM equation.

GCF(9739,9746) = 1
LCM(9739,9746) = ( 9739 × 9746) / 1
LCM(9739,9746) = 94916294 / 1
LCM(9739,9746) = 94916294

Properties of LCM 9739 and 9746

(i) The LCM of 9746 and 9739 is associative

LCM of 9739 and 9746 = LCM of 9746 and 9739

Related Least Common Multiples of 9739

Related Least Common Multiples of 9746

Frequently Asked Questions on LCM of 9739 and 9746

1. What is the LCM of 9739 and 9746?

Answer: LCM of 9739 and 9746 is 94916294.

2. What are the Factors of 9739?

Answer: Factors of 9739 are 1, 9739. There are 2 integers that are factors of 9739. The greatest factor of 9739 is 9739.

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 9739 and 9746?

Answer:

Least Common Multiple of 9739 and 9746 = 94916294

Step 1: Find the prime factorization of 9739

9739 = 9739

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 = 94916294 = 2 x 11 x 443 x 9739

Step 4: Therefore, the least common multiple of 9739 and 9746 is 94916294.