Least Common Multiple of 9954 and 9959
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 9959 the smallest integer that is 99131886 that is divisible by both numbers.
Least Common Multiple (LCM) of 9954 and 9959 is 99131886.
LCM(9954,9959) = 99131886
LCM of 9954 and 9959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9954 and 9959 by Prime method
- Least Common Multiple of 9954 and 9959 with GCF Formula
LCM of 9954 and 9959 is 99131886
Least common multiple can be found by multiplying the highest exponent prime factors of 9954 and 9959. First we will calculate the prime factors of 9954 and 9959.
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 9959
| 23 | 9959 |
| 433 | 433 |
| 1 |
Prime factors of 9959 are 23,433. Prime factorization of 9959 in exponential form is:
9959 = 231×4331
Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9959.
LCM(9954,9959) = 21×32×71×231×791×4331
LCM(9954,9959) = 99131886
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 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1, 23, 433, 9959
Least Common Multiple of 9954 and 9959 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 9959, than apply into the LCM equation.
GCF(9954,9959) = 1
LCM(9954,9959) = ( 9954 × 9959) / 1
LCM(9954,9959) = 99131886 / 1
LCM(9954,9959) = 99131886
Properties of LCM 9954 and 9959
(i) The LCM of 9959 and 9954 is associative
LCM of 9954 and 9959 = LCM of 9959 and 9954
Related Least Common Multiples of 9954
Related Least Common Multiples of 9959
Frequently Asked Questions on LCM of 9954 and 9959
1. What is the LCM of 9954 and 9959?
Answer: LCM of 9954 and 9959 is 99131886.
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 9959?
Answer: Factors of 9959 are 1, 23, 433, 9959. There are 4 integers that are factors of 9959. The greatest factor of 9959 is 9959.
4. How to Find the LCM of 9954 and 9959?
Answer:
Least Common Multiple of 9954 and 9959 = 99131886
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 9959
9959 = 23 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99131886 = 2 x 3 x 3 x 7 x 23 x 79 x 433
Step 4: Therefore, the least common multiple of 9954 and 9959 is 99131886.