Least Common Multiple of 9725 and 9732

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 9732 the smallest integer that is 94643700 that is divisible by both numbers.

Least Common Multiple (LCM) of 9725 and 9732 is 94643700.

LCM(9725,9732) = 94643700

LCM of 9725 and 9732

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

LCM of:
and

Least Common Multiple of 9725 and 9732

LCM of 9725 and 9732 is 94643700

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9732. First we will calculate the prime factors of 9725 and 9732.

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 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2, 3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 9725 and 9732.

LCM(9725,9732) = 22×31×52×3891×8111
LCM(9725,9732) = 94643700

Factors of 9725

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

1, 5, 25, 389, 1945, 9725

Factors of 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732

Least Common Multiple of 9725 and 9732 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 9732, than apply into the LCM equation.

GCF(9725,9732) = 1
LCM(9725,9732) = ( 9725 × 9732) / 1
LCM(9725,9732) = 94643700 / 1
LCM(9725,9732) = 94643700

Properties of LCM 9725 and 9732

(i) The LCM of 9732 and 9725 is associative

LCM of 9725 and 9732 = LCM of 9732 and 9725

Related Least Common Multiples of 9725

Related Least Common Multiples of 9732

Frequently Asked Questions on LCM of 9725 and 9732

1. What is the LCM of 9725 and 9732?

Answer: LCM of 9725 and 9732 is 94643700.

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 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

4. How to Find the LCM of 9725 and 9732?

Answer:

Least Common Multiple of 9725 and 9732 = 94643700

Step 1: Find the prime factorization of 9725

9725 = 5 x 5 x 389

Step 2: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

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

LCM = 94643700 = 2 x 2 x 3 x 5 x 5 x 389 x 811

Step 4: Therefore, the least common multiple of 9725 and 9732 is 94643700.