Least Common Multiple of 9746 and 9749

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 9749 the smallest integer that is 95013754 that is divisible by both numbers.

Least Common Multiple (LCM) of 9746 and 9749 is 95013754.

LCM(9746,9749) = 95013754

LCM of 9746 and 9749

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

LCM of:
and

Least Common Multiple of 9746 and 9749

LCM of 9746 and 9749 is 95013754

Least common multiple can be found by multiplying the highest exponent prime factors of 9746 and 9749. First we will calculate the prime factors of 9746 and 9749.

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 9749


9749 9749
1

Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:

9749 = 97491

Now multiplying the highest exponent prime factors to calculate the LCM of 9746 and 9749.

LCM(9746,9749) = 21×111×4431×97491
LCM(9746,9749) = 95013754

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 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1, 9749

Least Common Multiple of 9746 and 9749 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 9749, than apply into the LCM equation.

GCF(9746,9749) = 1
LCM(9746,9749) = ( 9746 × 9749) / 1
LCM(9746,9749) = 95013754 / 1
LCM(9746,9749) = 95013754

Properties of LCM 9746 and 9749

(i) The LCM of 9749 and 9746 is associative

LCM of 9746 and 9749 = LCM of 9749 and 9746

Related Least Common Multiples of 9746

Related Least Common Multiples of 9749

Frequently Asked Questions on LCM of 9746 and 9749

1. What is the LCM of 9746 and 9749?

Answer: LCM of 9746 and 9749 is 95013754.

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 9749?

Answer: Factors of 9749 are 1, 9749. There are 2 integers that are factors of 9749. The greatest factor of 9749 is 9749.

4. How to Find the LCM of 9746 and 9749?

Answer:

Least Common Multiple of 9746 and 9749 = 95013754

Step 1: Find the prime factorization of 9746

9746 = 2 x 11 x 443

Step 2: Find the prime factorization of 9749

9749 = 9749

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

LCM = 95013754 = 2 x 11 x 443 x 9749

Step 4: Therefore, the least common multiple of 9746 and 9749 is 95013754.