Least Common Multiple of 9954 and 9961
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9954 and 9961 the smallest integer that is 14164542 that is divisible by both numbers.
Least Common Multiple (LCM) of 9954 and 9961 is 14164542.
LCM(9954,9961) = 14164542
LCM of 9954 and 9961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9954 and 9961 by Prime method
- Least Common Multiple of 9954 and 9961 with GCF Formula
LCM of 9954 and 9961 is 14164542
Least common multiple can be found by multiplying the highest exponent prime factors of 9954 and 9961. First we will calculate the prime factors of 9954 and 9961.
Prime Factorization of 9954
| 2 | 9954 |
| 3 | 4977 |
| 3 | 1659 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 9954 are 2, 3, 7,79. Prime factorization of 9954 in exponential form is:
9954 = 21×32×71×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9961.
LCM(9954,9961) = 21×32×71×791×14231
LCM(9954,9961) = 14164542
Factors of 9954
List of positive integer factors of 9954 that divides 9954 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954
Factors of 9961
List of positive integer factors of 9961 that divides 9961 without a remainder.
1, 7, 1423, 9961
Least Common Multiple of 9954 and 9961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9954 and 9961, than apply into the LCM equation.
GCF(9954,9961) = 7
LCM(9954,9961) = ( 9954 × 9961) / 7
LCM(9954,9961) = 99151794 / 7
LCM(9954,9961) = 14164542
Properties of LCM 9954 and 9961
(i) The LCM of 9961 and 9954 is associative
LCM of 9954 and 9961 = LCM of 9961 and 9954
Related Least Common Multiples of 9954
Related Least Common Multiples of 9961
Frequently Asked Questions on LCM of 9954 and 9961
1. What is the LCM of 9954 and 9961?
Answer: LCM of 9954 and 9961 is 14164542.
2. What are the Factors of 9954?
Answer: Factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954. There are 24 integers that are factors of 9954. The greatest factor of 9954 is 9954.
3. 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.
4. How to Find the LCM of 9954 and 9961?
Answer:
Least Common Multiple of 9954 and 9961 = 14164542
Step 1: Find the prime factorization of 9954
9954 = 2 x 3 x 3 x 7 x 79
Step 2: Find the prime factorization of 9961
9961 = 7 x 1423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14164542 = 2 x 3 x 3 x 7 x 79 x 1423
Step 4: Therefore, the least common multiple of 9954 and 9961 is 14164542.