Least Common Multiple of 9923 and 9929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9923 and 9929 the smallest integer that is 98525467 that is divisible by both numbers.

Least Common Multiple (LCM) of 9923 and 9929 is 98525467.

LCM(9923,9929) = 98525467

LCM of 9923 and 9929

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

LCM of:
and

Least Common Multiple of 9923 and 9929

LCM of 9923 and 9929 is 98525467

Least common multiple can be found by multiplying the highest exponent prime factors of 9923 and 9929. First we will calculate the prime factors of 9923 and 9929.

Prime Factorization of 9923


9923 9923
1

Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:

9923 = 99231

Prime Factorization of 9929


9929 9929
1

Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:

9929 = 99291

Now multiplying the highest exponent prime factors to calculate the LCM of 9923 and 9929.

LCM(9923,9929) = 99231×99291
LCM(9923,9929) = 98525467

Factors of 9923

List of positive integer factors of 9923 that divides 9923 without a remainder.

1, 9923

Factors of 9929

List of positive integer factors of 9929 that divides 9929 without a remainder.

1, 9929

Least Common Multiple of 9923 and 9929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9923 and 9929, than apply into the LCM equation.

GCF(9923,9929) = 1
LCM(9923,9929) = ( 9923 × 9929) / 1
LCM(9923,9929) = 98525467 / 1
LCM(9923,9929) = 98525467

Properties of LCM 9923 and 9929

(i) The LCM of 9929 and 9923 is associative

LCM of 9923 and 9929 = LCM of 9929 and 9923

Related Least Common Multiples of 9923

Related Least Common Multiples of 9929

Frequently Asked Questions on LCM of 9923 and 9929

1. What is the LCM of 9923 and 9929?

Answer: LCM of 9923 and 9929 is 98525467.

2. What are the Factors of 9923?

Answer: Factors of 9923 are 1, 9923. There are 2 integers that are factors of 9923. The greatest factor of 9923 is 9923.

3. What are the Factors of 9929?

Answer: Factors of 9929 are 1, 9929. There are 2 integers that are factors of 9929. The greatest factor of 9929 is 9929.

4. How to Find the LCM of 9923 and 9929?

Answer:

Least Common Multiple of 9923 and 9929 = 98525467

Step 1: Find the prime factorization of 9923

9923 = 9923

Step 2: Find the prime factorization of 9929

9929 = 9929

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

LCM = 98525467 = 9923 x 9929

Step 4: Therefore, the least common multiple of 9923 and 9929 is 98525467.