Least Common Multiple of 9725 and 9733

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 9733 the smallest integer that is 94653425 that is divisible by both numbers.

Least Common Multiple (LCM) of 9725 and 9733 is 94653425.

LCM(9725,9733) = 94653425

LCM of 9725 and 9733

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

LCM of:
and

Least Common Multiple of 9725 and 9733

LCM of 9725 and 9733 is 94653425

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9733. First we will calculate the prime factors of 9725 and 9733.

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 9733


9733 9733
1

Prime factors of 9733 are 9733. Prime factorization of 9733 in exponential form is:

9733 = 97331

Now multiplying the highest exponent prime factors to calculate the LCM of 9725 and 9733.

LCM(9725,9733) = 52×3891×97331
LCM(9725,9733) = 94653425

Factors of 9725

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

1, 5, 25, 389, 1945, 9725

Factors of 9733

List of positive integer factors of 9733 that divides 9733 without a remainder.

1, 9733

Least Common Multiple of 9725 and 9733 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 9733, than apply into the LCM equation.

GCF(9725,9733) = 1
LCM(9725,9733) = ( 9725 × 9733) / 1
LCM(9725,9733) = 94653425 / 1
LCM(9725,9733) = 94653425

Properties of LCM 9725 and 9733

(i) The LCM of 9733 and 9725 is associative

LCM of 9725 and 9733 = LCM of 9733 and 9725

Related Least Common Multiples of 9725

Related Least Common Multiples of 9733

Frequently Asked Questions on LCM of 9725 and 9733

1. What is the LCM of 9725 and 9733?

Answer: LCM of 9725 and 9733 is 94653425.

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 9733?

Answer: Factors of 9733 are 1, 9733. There are 2 integers that are factors of 9733. The greatest factor of 9733 is 9733.

4. How to Find the LCM of 9725 and 9733?

Answer:

Least Common Multiple of 9725 and 9733 = 94653425

Step 1: Find the prime factorization of 9725

9725 = 5 x 5 x 389

Step 2: Find the prime factorization of 9733

9733 = 9733

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

LCM = 94653425 = 5 x 5 x 389 x 9733

Step 4: Therefore, the least common multiple of 9725 and 9733 is 94653425.