Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9931 and 9939 the smallest integer that is 98704209 that is divisible by both numbers.
Least Common Multiple (LCM) of 9931 and 9939 is 98704209.
LCM(9931,9939) = 98704209
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 9931 and 9939. First we will calculate the prime factors of 9931 and 9939.
Prime Factorization of 9931
9931 | 9931 |
1 |
Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:
9931 = 99311
Prime Factorization of 9939
3 | 9939 |
3313 | 3313 |
1 |
Prime factors of 9939 are 3,3313. Prime factorization of 9939 in exponential form is:
9939 = 31×33131
Now multiplying the highest exponent prime factors to calculate the LCM of 9931 and 9939.
LCM(9931,9939) = 31×33131×99311
LCM(9931,9939) = 98704209
Factors of 9931
List of positive integer factors of 9931 that divides 9931 without a remainder.
1, 9931
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1, 3, 3313, 9939
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9931 and 9939, than apply into the LCM equation.
GCF(9931,9939) = 1
LCM(9931,9939) = ( 9931 × 9939) / 1
LCM(9931,9939) = 98704209 / 1
LCM(9931,9939) = 98704209
(i) The LCM of 9939 and 9931 is associative
LCM of 9931 and 9939 = LCM of 9939 and 9931
1. What is the LCM of 9931 and 9939?
Answer: LCM of 9931 and 9939 is 98704209.
2. 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.
3. What are the Factors of 9939?
Answer: Factors of 9939 are 1, 3, 3313, 9939. There are 4 integers that are factors of 9939. The greatest factor of 9939 is 9939.
4. How to Find the LCM of 9931 and 9939?
Answer:
Least Common Multiple of 9931 and 9939 = 98704209
Step 1: Find the prime factorization of 9931
9931 = 9931
Step 2: Find the prime factorization of 9939
9939 = 3 x 3313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98704209 = 3 x 3313 x 9931
Step 4: Therefore, the least common multiple of 9931 and 9939 is 98704209.