Least Common Multiple of 9725 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 9725 and 9730 the smallest integer that is 18924850 that is divisible by both numbers.

Least Common Multiple (LCM) of 9725 and 9730 is 18924850.

LCM(9725,9730) = 18924850

LCM of 9725 and 9730

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

LCM of:
and

Least Common Multiple of 9725 and 9730

LCM of 9725 and 9730 is 18924850

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9730. First we will calculate the prime factors of 9725 and 9730.

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 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 9725 and 9730.

LCM(9725,9730) = 21×52×71×1391×3891
LCM(9725,9730) = 18924850

Factors of 9725

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

1, 5, 25, 389, 1945, 9725

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 9725 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 9725 and 9730, than apply into the LCM equation.

GCF(9725,9730) = 5
LCM(9725,9730) = ( 9725 × 9730) / 5
LCM(9725,9730) = 94624250 / 5
LCM(9725,9730) = 18924850

Properties of LCM 9725 and 9730

(i) The LCM of 9730 and 9725 is associative

LCM of 9725 and 9730 = LCM of 9730 and 9725

Related Least Common Multiples of 9725

Related Least Common Multiples of 9730

Frequently Asked Questions on LCM of 9725 and 9730

1. What is the LCM of 9725 and 9730?

Answer: LCM of 9725 and 9730 is 18924850.

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 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 9725 and 9730?

Answer:

Least Common Multiple of 9725 and 9730 = 18924850

Step 1: Find the prime factorization of 9725

9725 = 5 x 5 x 389

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 = 18924850 = 2 x 5 x 5 x 7 x 139 x 389

Step 4: Therefore, the least common multiple of 9725 and 9730 is 18924850.