Least Common Multiple of 9925 and 9932

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 9932 the smallest integer that is 98575100 that is divisible by both numbers.

Least Common Multiple (LCM) of 9925 and 9932 is 98575100.

LCM(9925,9932) = 98575100

LCM of 9925 and 9932

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

LCM of:
and

Least Common Multiple of 9925 and 9932

LCM of 9925 and 9932 is 98575100

Least common multiple can be found by multiplying the highest exponent prime factors of 9925 and 9932. First we will calculate the prime factors of 9925 and 9932.

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 9932


2 9932
2 4966
13 2483
191 191
1

Prime factors of 9932 are 2, 13,191. Prime factorization of 9932 in exponential form is:

9932 = 22×131×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 9925 and 9932.

LCM(9925,9932) = 22×52×131×1911×3971
LCM(9925,9932) = 98575100

Factors of 9925

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

1, 5, 25, 397, 1985, 9925

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932

Least Common Multiple of 9925 and 9932 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 9932, than apply into the LCM equation.

GCF(9925,9932) = 1
LCM(9925,9932) = ( 9925 × 9932) / 1
LCM(9925,9932) = 98575100 / 1
LCM(9925,9932) = 98575100

Properties of LCM 9925 and 9932

(i) The LCM of 9932 and 9925 is associative

LCM of 9925 and 9932 = LCM of 9932 and 9925

Related Least Common Multiples of 9925

Related Least Common Multiples of 9932

Frequently Asked Questions on LCM of 9925 and 9932

1. What is the LCM of 9925 and 9932?

Answer: LCM of 9925 and 9932 is 98575100.

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 9932?

Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.

4. How to Find the LCM of 9925 and 9932?

Answer:

Least Common Multiple of 9925 and 9932 = 98575100

Step 1: Find the prime factorization of 9925

9925 = 5 x 5 x 397

Step 2: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

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

LCM = 98575100 = 2 x 2 x 5 x 5 x 13 x 191 x 397

Step 4: Therefore, the least common multiple of 9925 and 9932 is 98575100.