Least Common Multiple of 9925 and 9931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9925 and 9931 the smallest integer that is 98565175 that is divisible by both numbers.

Least Common Multiple (LCM) of 9925 and 9931 is 98565175.

LCM(9925,9931) = 98565175

LCM of 9925 and 9931

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

LCM of:
and

Least Common Multiple of 9925 and 9931

LCM of 9925 and 9931 is 98565175

Least common multiple can be found by multiplying the highest exponent prime factors of 9925 and 9931. First we will calculate the prime factors of 9925 and 9931.

Prime Factorization of 9925


5 9925
5 1985
397 397
1

Prime factors of 9925 are 5,397. Prime factorization of 9925 in exponential form is:

9925 = 52×3971

Prime Factorization of 9931


9931 9931
1

Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:

9931 = 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 9925 and 9931.

LCM(9925,9931) = 52×3971×99311
LCM(9925,9931) = 98565175

Factors of 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1, 5, 25, 397, 1985, 9925

Factors of 9931

List of positive integer factors of 9931 that divides 9931 without a remainder.

1, 9931

Least Common Multiple of 9925 and 9931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9925 and 9931, than apply into the LCM equation.

GCF(9925,9931) = 1
LCM(9925,9931) = ( 9925 × 9931) / 1
LCM(9925,9931) = 98565175 / 1
LCM(9925,9931) = 98565175

Properties of LCM 9925 and 9931

(i) The LCM of 9931 and 9925 is associative

LCM of 9925 and 9931 = LCM of 9931 and 9925

Related Least Common Multiples of 9925

Related Least Common Multiples of 9931

Frequently Asked Questions on LCM of 9925 and 9931

1. What is the LCM of 9925 and 9931?

Answer: LCM of 9925 and 9931 is 98565175.

2. What are the Factors of 9925?

Answer: Factors of 9925 are 1, 5, 25, 397, 1985, 9925. There are 6 integers that are factors of 9925. The greatest factor of 9925 is 9925.

3. What are the Factors of 9931?

Answer: Factors of 9931 are 1, 9931. There are 2 integers that are factors of 9931. The greatest factor of 9931 is 9931.

4. How to Find the LCM of 9925 and 9931?

Answer:

Least Common Multiple of 9925 and 9931 = 98565175

Step 1: Find the prime factorization of 9925

9925 = 5 x 5 x 397

Step 2: Find the prime factorization of 9931

9931 = 9931

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

LCM = 98565175 = 5 x 5 x 397 x 9931

Step 4: Therefore, the least common multiple of 9925 and 9931 is 98565175.