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 9931 the smallest integer that is 98585037 that is divisible by both numbers.
Least Common Multiple (LCM) of 9927 and 9931 is 98585037.
LCM(9927,9931) = 98585037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9927 and 9931. First we will calculate the prime factors of 9927 and 9931.
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 9931
9931 | 9931 |
1 |
Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:
9931 = 99311
Now multiplying the highest exponent prime factors to calculate the LCM of 9927 and 9931.
LCM(9927,9931) = 32×11031×99311
LCM(9927,9931) = 98585037
Factors of 9927
List of positive integer factors of 9927 that divides 9927 without a remainder.
1, 3, 9, 1103, 3309, 9927
Factors of 9931
List of positive integer factors of 9931 that divides 9931 without a remainder.
1, 9931
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9927 and 9931, than apply into the LCM equation.
GCF(9927,9931) = 1
LCM(9927,9931) = ( 9927 × 9931) / 1
LCM(9927,9931) = 98585037 / 1
LCM(9927,9931) = 98585037
(i) The LCM of 9931 and 9927 is associative
LCM of 9927 and 9931 = LCM of 9931 and 9927
1. What is the LCM of 9927 and 9931?
Answer: LCM of 9927 and 9931 is 98585037.
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 9931?
Answer: Factors of 9931 are 1, 9931. There are 2 integers that are factors of 9931. The greatest factor of 9931 is 9931.
4. How to Find the LCM of 9927 and 9931?
Answer:
Least Common Multiple of 9927 and 9931 = 98585037
Step 1: Find the prime factorization of 9927
9927 = 3 x 3 x 1103
Step 2: Find the prime factorization of 9931
9931 = 9931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98585037 = 3 x 3 x 1103 x 9931
Step 4: Therefore, the least common multiple of 9927 and 9931 is 98585037.