Least Common Multiple of 9925 and 9933

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 9933 the smallest integer that is 98585025 that is divisible by both numbers.

Least Common Multiple (LCM) of 9925 and 9933 is 98585025.

LCM(9925,9933) = 98585025

LCM of 9925 and 9933

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

LCM of:
and

Least Common Multiple of 9925 and 9933

LCM of 9925 and 9933 is 98585025

Least common multiple can be found by multiplying the highest exponent prime factors of 9925 and 9933. First we will calculate the prime factors of 9925 and 9933.

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 9933


3 9933
7 3311
11 473
43 43
1

Prime factors of 9933 are 3, 7, 11,43. Prime factorization of 9933 in exponential form is:

9933 = 31×71×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9925 and 9933.

LCM(9925,9933) = 31×52×71×111×431×3971
LCM(9925,9933) = 98585025

Factors of 9925

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

1, 5, 25, 397, 1985, 9925

Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933

Least Common Multiple of 9925 and 9933 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 9933, than apply into the LCM equation.

GCF(9925,9933) = 1
LCM(9925,9933) = ( 9925 × 9933) / 1
LCM(9925,9933) = 98585025 / 1
LCM(9925,9933) = 98585025

Properties of LCM 9925 and 9933

(i) The LCM of 9933 and 9925 is associative

LCM of 9925 and 9933 = LCM of 9933 and 9925

Related Least Common Multiples of 9925

Related Least Common Multiples of 9933

Frequently Asked Questions on LCM of 9925 and 9933

1. What is the LCM of 9925 and 9933?

Answer: LCM of 9925 and 9933 is 98585025.

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 9933?

Answer: Factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933. There are 16 integers that are factors of 9933. The greatest factor of 9933 is 9933.

4. How to Find the LCM of 9925 and 9933?

Answer:

Least Common Multiple of 9925 and 9933 = 98585025

Step 1: Find the prime factorization of 9925

9925 = 5 x 5 x 397

Step 2: Find the prime factorization of 9933

9933 = 3 x 7 x 11 x 43

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

LCM = 98585025 = 3 x 5 x 5 x 7 x 11 x 43 x 397

Step 4: Therefore, the least common multiple of 9925 and 9933 is 98585025.