Least Common Multiple of 9927 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 9927 and 9932 the smallest integer that is 98594964 that is divisible by both numbers.

Least Common Multiple (LCM) of 9927 and 9932 is 98594964.

LCM(9927,9932) = 98594964

LCM of 9927 and 9932

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

LCM of:
and

Least Common Multiple of 9927 and 9932

LCM of 9927 and 9932 is 98594964

Least common multiple can be found by multiplying the highest exponent prime factors of 9927 and 9932. First we will calculate the prime factors of 9927 and 9932.

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

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 9927 and 9932.

LCM(9927,9932) = 22×32×131×1911×11031
LCM(9927,9932) = 98594964

Factors of 9927

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

1, 3, 9, 1103, 3309, 9927

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 9927 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 9927 and 9932, than apply into the LCM equation.

GCF(9927,9932) = 1
LCM(9927,9932) = ( 9927 × 9932) / 1
LCM(9927,9932) = 98594964 / 1
LCM(9927,9932) = 98594964

Properties of LCM 9927 and 9932

(i) The LCM of 9932 and 9927 is associative

LCM of 9927 and 9932 = LCM of 9932 and 9927

Related Least Common Multiples of 9927

Related Least Common Multiples of 9932

Frequently Asked Questions on LCM of 9927 and 9932

1. What is the LCM of 9927 and 9932?

Answer: LCM of 9927 and 9932 is 98594964.

2. 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.

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 9927 and 9932?

Answer:

Least Common Multiple of 9927 and 9932 = 98594964

Step 1: Find the prime factorization of 9927

9927 = 3 x 3 x 1103

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 = 98594964 = 2 x 2 x 3 x 3 x 13 x 191 x 1103

Step 4: Therefore, the least common multiple of 9927 and 9932 is 98594964.