Least Common Multiple of 9742 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 9742 and 9746 the smallest integer that is 47472766 that is divisible by both numbers.

Least Common Multiple (LCM) of 9742 and 9746 is 47472766.

LCM(9742,9746) = 47472766

LCM of 9742 and 9746

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

LCM of:
and

Least Common Multiple of 9742 and 9746

LCM of 9742 and 9746 is 47472766

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9746. First we will calculate the prime factors of 9742 and 9746.

Prime Factorization of 9742


2 9742
4871 4871
1

Prime factors of 9742 are 2,4871. Prime factorization of 9742 in exponential form is:

9742 = 21×48711

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 9742 and 9746.

LCM(9742,9746) = 21×111×4431×48711
LCM(9742,9746) = 47472766

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1, 2, 4871, 9742

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 9742 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 9742 and 9746, than apply into the LCM equation.

GCF(9742,9746) = 2
LCM(9742,9746) = ( 9742 × 9746) / 2
LCM(9742,9746) = 94945532 / 2
LCM(9742,9746) = 47472766

Properties of LCM 9742 and 9746

(i) The LCM of 9746 and 9742 is associative

LCM of 9742 and 9746 = LCM of 9746 and 9742

Related Least Common Multiples of 9742

Related Least Common Multiples of 9746

Frequently Asked Questions on LCM of 9742 and 9746

1. What is the LCM of 9742 and 9746?

Answer: LCM of 9742 and 9746 is 47472766.

2. What are the Factors of 9742?

Answer: Factors of 9742 are 1, 2, 4871, 9742. There are 4 integers that are factors of 9742. The greatest factor of 9742 is 9742.

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 9742 and 9746?

Answer:

Least Common Multiple of 9742 and 9746 = 47472766

Step 1: Find the prime factorization of 9742

9742 = 2 x 4871

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 = 47472766 = 2 x 11 x 443 x 4871

Step 4: Therefore, the least common multiple of 9742 and 9746 is 47472766.