Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9957 and 9965 the smallest integer that is 99221505 that is divisible by both numbers.
Least Common Multiple (LCM) of 9957 and 9965 is 99221505.
LCM(9957,9965) = 99221505
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 9957 and 9965. First we will calculate the prime factors of 9957 and 9965.
Prime Factorization of 9957
3 | 9957 |
3319 | 3319 |
1 |
Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:
9957 = 31×33191
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 9957 and 9965.
LCM(9957,9965) = 31×51×19931×33191
LCM(9957,9965) = 99221505
Factors of 9957
List of positive integer factors of 9957 that divides 9957 without a remainder.
1, 3, 3319, 9957
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 9957 and 9965, than apply into the LCM equation.
GCF(9957,9965) = 1
LCM(9957,9965) = ( 9957 × 9965) / 1
LCM(9957,9965) = 99221505 / 1
LCM(9957,9965) = 99221505
(i) The LCM of 9965 and 9957 is associative
LCM of 9957 and 9965 = LCM of 9965 and 9957
1. What is the LCM of 9957 and 9965?
Answer: LCM of 9957 and 9965 is 99221505.
2. What are the Factors of 9957?
Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.
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 9957 and 9965?
Answer:
Least Common Multiple of 9957 and 9965 = 99221505
Step 1: Find the prime factorization of 9957
9957 = 3 x 3319
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 = 99221505 = 3 x 5 x 1993 x 3319
Step 4: Therefore, the least common multiple of 9957 and 9965 is 99221505.