Least Common Multiple of 9724 and 9725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9724 and 9725 the smallest integer that is 94565900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9724 and 9725 is 94565900.

LCM(9724,9725) = 94565900

LCM of 9724 and 9725

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

LCM of:
and

Least Common Multiple of 9724 and 9725

LCM of 9724 and 9725 is 94565900

Least common multiple can be found by multiplying the highest exponent prime factors of 9724 and 9725. First we will calculate the prime factors of 9724 and 9725.

Prime Factorization of 9724


2 9724
2 4862
11 2431
13 221
17 17
1

Prime factors of 9724 are 2, 11, 13,17. Prime factorization of 9724 in exponential form is:

9724 = 22×111×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9724 and 9725.

LCM(9724,9725) = 22×52×111×131×171×3891
LCM(9724,9725) = 94565900

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724

Factors of 9725

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

1, 5, 25, 389, 1945, 9725

Least Common Multiple of 9724 and 9725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9724 and 9725, than apply into the LCM equation.

GCF(9724,9725) = 1
LCM(9724,9725) = ( 9724 × 9725) / 1
LCM(9724,9725) = 94565900 / 1
LCM(9724,9725) = 94565900

Properties of LCM 9724 and 9725

(i) The LCM of 9725 and 9724 is associative

LCM of 9724 and 9725 = LCM of 9725 and 9724

Related Least Common Multiples of 9724

Related Least Common Multiples of 9725

Frequently Asked Questions on LCM of 9724 and 9725

1. What is the LCM of 9724 and 9725?

Answer: LCM of 9724 and 9725 is 94565900.

2. What are the Factors of 9724?

Answer: Factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724. There are 24 integers that are factors of 9724. The greatest factor of 9724 is 9724.

3. 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.

4. How to Find the LCM of 9724 and 9725?

Answer:

Least Common Multiple of 9724 and 9725 = 94565900

Step 1: Find the prime factorization of 9724

9724 = 2 x 2 x 11 x 13 x 17

Step 2: Find the prime factorization of 9725

9725 = 5 x 5 x 389

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

LCM = 94565900 = 2 x 2 x 5 x 5 x 11 x 13 x 17 x 389

Step 4: Therefore, the least common multiple of 9724 and 9725 is 94565900.