Least Common Multiple of 9721 and 9729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9721 and 9729 the smallest integer that is 94575609 that is divisible by both numbers.

Least Common Multiple (LCM) of 9721 and 9729 is 94575609.

LCM(9721,9729) = 94575609

LCM of 9721 and 9729

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

LCM of:
and

Least Common Multiple of 9721 and 9729

LCM of 9721 and 9729 is 94575609

Least common multiple can be found by multiplying the highest exponent prime factors of 9721 and 9729. First we will calculate the prime factors of 9721 and 9729.

Prime Factorization of 9721


9721 9721
1

Prime factors of 9721 are 9721. Prime factorization of 9721 in exponential form is:

9721 = 97211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9721 and 9729.

LCM(9721,9729) = 32×231×471×97211
LCM(9721,9729) = 94575609

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1, 9721

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

Least Common Multiple of 9721 and 9729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9721 and 9729, than apply into the LCM equation.

GCF(9721,9729) = 1
LCM(9721,9729) = ( 9721 × 9729) / 1
LCM(9721,9729) = 94575609 / 1
LCM(9721,9729) = 94575609

Properties of LCM 9721 and 9729

(i) The LCM of 9729 and 9721 is associative

LCM of 9721 and 9729 = LCM of 9729 and 9721

Related Least Common Multiples of 9721

Related Least Common Multiples of 9729

Frequently Asked Questions on LCM of 9721 and 9729

1. What is the LCM of 9721 and 9729?

Answer: LCM of 9721 and 9729 is 94575609.

2. What are the Factors of 9721?

Answer: Factors of 9721 are 1, 9721. There are 2 integers that are factors of 9721. The greatest factor of 9721 is 9721.

3. 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.

4. How to Find the LCM of 9721 and 9729?

Answer:

Least Common Multiple of 9721 and 9729 = 94575609

Step 1: Find the prime factorization of 9721

9721 = 9721

Step 2: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

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

LCM = 94575609 = 3 x 3 x 23 x 47 x 9721

Step 4: Therefore, the least common multiple of 9721 and 9729 is 94575609.