Least Common Multiple of 9923 and 9927

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 9927 the smallest integer that is 98505621 that is divisible by both numbers.

Least Common Multiple (LCM) of 9923 and 9927 is 98505621.

LCM(9923,9927) = 98505621

LCM of 9923 and 9927

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

LCM of:
and

Least Common Multiple of 9923 and 9927

LCM of 9923 and 9927 is 98505621

Least common multiple can be found by multiplying the highest exponent prime factors of 9923 and 9927. First we will calculate the prime factors of 9923 and 9927.

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 9927


3 9927
3 3309
1103 1103
1

Prime factors of 9927 are 3,1103. Prime factorization of 9927 in exponential form is:

9927 = 32×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 9923 and 9927.

LCM(9923,9927) = 32×11031×99231
LCM(9923,9927) = 98505621

Factors of 9923

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

1, 9923

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1, 3, 9, 1103, 3309, 9927

Least Common Multiple of 9923 and 9927 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 9927, than apply into the LCM equation.

GCF(9923,9927) = 1
LCM(9923,9927) = ( 9923 × 9927) / 1
LCM(9923,9927) = 98505621 / 1
LCM(9923,9927) = 98505621

Properties of LCM 9923 and 9927

(i) The LCM of 9927 and 9923 is associative

LCM of 9923 and 9927 = LCM of 9927 and 9923

Related Least Common Multiples of 9923

Related Least Common Multiples of 9927

Frequently Asked Questions on LCM of 9923 and 9927

1. What is the LCM of 9923 and 9927?

Answer: LCM of 9923 and 9927 is 98505621.

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 9927?

Answer: Factors of 9927 are 1, 3, 9, 1103, 3309, 9927. There are 6 integers that are factors of 9927. The greatest factor of 9927 is 9927.

4. How to Find the LCM of 9923 and 9927?

Answer:

Least Common Multiple of 9923 and 9927 = 98505621

Step 1: Find the prime factorization of 9923

9923 = 9923

Step 2: Find the prime factorization of 9927

9927 = 3 x 3 x 1103

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

LCM = 98505621 = 3 x 3 x 1103 x 9923

Step 4: Therefore, the least common multiple of 9923 and 9927 is 98505621.