Least Common Multiple of 9738 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 9738 and 9746 the smallest integer that is 47453274 that is divisible by both numbers.

Least Common Multiple (LCM) of 9738 and 9746 is 47453274.

LCM(9738,9746) = 47453274

LCM of 9738 and 9746

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

LCM of:
and

Least Common Multiple of 9738 and 9746

LCM of 9738 and 9746 is 47453274

Least common multiple can be found by multiplying the highest exponent prime factors of 9738 and 9746. First we will calculate the prime factors of 9738 and 9746.

Prime Factorization of 9738


2 9738
3 4869
3 1623
541 541
1

Prime factors of 9738 are 2, 3,541. Prime factorization of 9738 in exponential form is:

9738 = 21×32×5411

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 9738 and 9746.

LCM(9738,9746) = 21×32×111×4431×5411
LCM(9738,9746) = 47453274

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738

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 9738 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 9738 and 9746, than apply into the LCM equation.

GCF(9738,9746) = 2
LCM(9738,9746) = ( 9738 × 9746) / 2
LCM(9738,9746) = 94906548 / 2
LCM(9738,9746) = 47453274

Properties of LCM 9738 and 9746

(i) The LCM of 9746 and 9738 is associative

LCM of 9738 and 9746 = LCM of 9746 and 9738

Related Least Common Multiples of 9738

Related Least Common Multiples of 9746

Frequently Asked Questions on LCM of 9738 and 9746

1. What is the LCM of 9738 and 9746?

Answer: LCM of 9738 and 9746 is 47453274.

2. What are the Factors of 9738?

Answer: Factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738. There are 12 integers that are factors of 9738. The greatest factor of 9738 is 9738.

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 9738 and 9746?

Answer:

Least Common Multiple of 9738 and 9746 = 47453274

Step 1: Find the prime factorization of 9738

9738 = 2 x 3 x 3 x 541

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 = 47453274 = 2 x 3 x 3 x 11 x 443 x 541

Step 4: Therefore, the least common multiple of 9738 and 9746 is 47453274.