Least Common Multiple of 9729 and 9730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9729 and 9730 the smallest integer that is 94663170 that is divisible by both numbers.

Least Common Multiple (LCM) of 9729 and 9730 is 94663170.

LCM(9729,9730) = 94663170

LCM of 9729 and 9730

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

LCM of:
and

Least Common Multiple of 9729 and 9730

LCM of 9729 and 9730 is 94663170

Least common multiple can be found by multiplying the highest exponent prime factors of 9729 and 9730. First we will calculate the prime factors of 9729 and 9730.

Prime Factorization of 9729


3 9729
3 3243
23 1081
47 47
1

Prime factors of 9729 are 3, 23,47. Prime factorization of 9729 in exponential form is:

9729 = 32×231×471

Prime Factorization of 9730


2 9730
5 4865
7 973
139 139
1

Prime factors of 9730 are 2, 5, 7,139. Prime factorization of 9730 in exponential form is:

9730 = 21×51×71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9729 and 9730.

LCM(9729,9730) = 21×32×51×71×231×471×1391
LCM(9729,9730) = 94663170

Factors of 9729

List of positive integer factors of 9729 that divides 9729 without a remainder.

1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730

Least Common Multiple of 9729 and 9730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9729 and 9730, than apply into the LCM equation.

GCF(9729,9730) = 1
LCM(9729,9730) = ( 9729 × 9730) / 1
LCM(9729,9730) = 94663170 / 1
LCM(9729,9730) = 94663170

Properties of LCM 9729 and 9730

(i) The LCM of 9730 and 9729 is associative

LCM of 9729 and 9730 = LCM of 9730 and 9729

Related Least Common Multiples of 9729

Related Least Common Multiples of 9730

Frequently Asked Questions on LCM of 9729 and 9730

1. What is the LCM of 9729 and 9730?

Answer: LCM of 9729 and 9730 is 94663170.

2. What are the Factors of 9729?

Answer: Factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729. There are 12 integers that are factors of 9729. The greatest factor of 9729 is 9729.

3. What are the Factors of 9730?

Answer: Factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730. There are 16 integers that are factors of 9730. The greatest factor of 9730 is 9730.

4. How to Find the LCM of 9729 and 9730?

Answer:

Least Common Multiple of 9729 and 9730 = 94663170

Step 1: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

Step 2: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

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

LCM = 94663170 = 2 x 3 x 3 x 5 x 7 x 23 x 47 x 139

Step 4: Therefore, the least common multiple of 9729 and 9730 is 94663170.