Least Common Multiple of 9725 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 9725 and 9729 the smallest integer that is 94614525 that is divisible by both numbers.

Least Common Multiple (LCM) of 9725 and 9729 is 94614525.

LCM(9725,9729) = 94614525

LCM of 9725 and 9729

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

LCM of:
and

Least Common Multiple of 9725 and 9729

LCM of 9725 and 9729 is 94614525

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9729. First we will calculate the prime factors of 9725 and 9729.

Prime Factorization of 9725


5 9725
5 1945
389 389
1

Prime factors of 9725 are 5,389. Prime factorization of 9725 in exponential form is:

9725 = 52×3891

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 9725 and 9729.

LCM(9725,9729) = 32×52×231×471×3891
LCM(9725,9729) = 94614525

Factors of 9725

List of positive integer factors of 9725 that divides 9725 without a remainder.

1, 5, 25, 389, 1945, 9725

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 9725 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 9725 and 9729, than apply into the LCM equation.

GCF(9725,9729) = 1
LCM(9725,9729) = ( 9725 × 9729) / 1
LCM(9725,9729) = 94614525 / 1
LCM(9725,9729) = 94614525

Properties of LCM 9725 and 9729

(i) The LCM of 9729 and 9725 is associative

LCM of 9725 and 9729 = LCM of 9729 and 9725

Related Least Common Multiples of 9725

Related Least Common Multiples of 9729

Frequently Asked Questions on LCM of 9725 and 9729

1. What is the LCM of 9725 and 9729?

Answer: LCM of 9725 and 9729 is 94614525.

2. What are the Factors of 9725?

Answer: Factors of 9725 are 1, 5, 25, 389, 1945, 9725. There are 6 integers that are factors of 9725. The greatest factor of 9725 is 9725.

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 9725 and 9729?

Answer:

Least Common Multiple of 9725 and 9729 = 94614525

Step 1: Find the prime factorization of 9725

9725 = 5 x 5 x 389

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 = 94614525 = 3 x 3 x 5 x 5 x 23 x 47 x 389

Step 4: Therefore, the least common multiple of 9725 and 9729 is 94614525.