Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9961 and 9965 the smallest integer that is 99261365 that is divisible by both numbers.
Least Common Multiple (LCM) of 9961 and 9965 is 99261365.
LCM(9961,9965) = 99261365
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 9961 and 9965. First we will calculate the prime factors of 9961 and 9965.
Prime Factorization of 9961
7 | 9961 |
1423 | 1423 |
1 |
Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:
9961 = 71×14231
Prime Factorization of 9965
5 | 9965 |
1993 | 1993 |
1 |
Prime factors of 9965 are 5,1993. Prime factorization of 9965 in exponential form is:
9965 = 51×19931
Now multiplying the highest exponent prime factors to calculate the LCM of 9961 and 9965.
LCM(9961,9965) = 51×71×14231×19931
LCM(9961,9965) = 99261365
Factors of 9961
List of positive integer factors of 9961 that divides 9961 without a remainder.
1, 7, 1423, 9961
Factors of 9965
List of positive integer factors of 9965 that divides 9965 without a remainder.
1, 5, 1993, 9965
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9961 and 9965, than apply into the LCM equation.
GCF(9961,9965) = 1
LCM(9961,9965) = ( 9961 × 9965) / 1
LCM(9961,9965) = 99261365 / 1
LCM(9961,9965) = 99261365
(i) The LCM of 9965 and 9961 is associative
LCM of 9961 and 9965 = LCM of 9965 and 9961
1. What is the LCM of 9961 and 9965?
Answer: LCM of 9961 and 9965 is 99261365.
2. What are the Factors of 9961?
Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.
3. What are the Factors of 9965?
Answer: Factors of 9965 are 1, 5, 1993, 9965. There are 4 integers that are factors of 9965. The greatest factor of 9965 is 9965.
4. How to Find the LCM of 9961 and 9965?
Answer:
Least Common Multiple of 9961 and 9965 = 99261365
Step 1: Find the prime factorization of 9961
9961 = 7 x 1423
Step 2: Find the prime factorization of 9965
9965 = 5 x 1993
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99261365 = 5 x 7 x 1423 x 1993
Step 4: Therefore, the least common multiple of 9961 and 9965 is 99261365.