Least Common Multiple of 9951 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 9951 and 9959 the smallest integer that is 99102009 that is divisible by both numbers.
Least Common Multiple (LCM) of 9951 and 9959 is 99102009.
LCM(9951,9959) = 99102009
LCM of 9951 and 9959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9951 and 9959 by Prime method
- Least Common Multiple of 9951 and 9959 with GCF Formula
LCM of 9951 and 9959 is 99102009
Least common multiple can be found by multiplying the highest exponent prime factors of 9951 and 9959. First we will calculate the prime factors of 9951 and 9959.
Prime Factorization of 9951
| 3 | 9951 |
| 31 | 3317 |
| 107 | 107 |
| 1 |
Prime factors of 9951 are 3, 31,107. Prime factorization of 9951 in exponential form is:
9951 = 31×311×1071
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 9951 and 9959.
LCM(9951,9959) = 31×231×311×1071×4331
LCM(9951,9959) = 99102009
Factors of 9951
List of positive integer factors of 9951 that divides 9951 without a remainder.
1, 3, 31, 93, 107, 321, 3317, 9951
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1, 23, 433, 9959
Least Common Multiple of 9951 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 9951 and 9959, than apply into the LCM equation.
GCF(9951,9959) = 1
LCM(9951,9959) = ( 9951 × 9959) / 1
LCM(9951,9959) = 99102009 / 1
LCM(9951,9959) = 99102009
Properties of LCM 9951 and 9959
(i) The LCM of 9959 and 9951 is associative
LCM of 9951 and 9959 = LCM of 9959 and 9951
Related Least Common Multiples of 9951
Related Least Common Multiples of 9959
Frequently Asked Questions on LCM of 9951 and 9959
1. What is the LCM of 9951 and 9959?
Answer: LCM of 9951 and 9959 is 99102009.
2. What are the Factors of 9951?
Answer: Factors of 9951 are 1, 3, 31, 93, 107, 321, 3317, 9951. There are 8 integers that are factors of 9951. The greatest factor of 9951 is 9951.
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 9951 and 9959?
Answer:
Least Common Multiple of 9951 and 9959 = 99102009
Step 1: Find the prime factorization of 9951
9951 = 3 x 31 x 107
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 = 99102009 = 3 x 23 x 31 x 107 x 433
Step 4: Therefore, the least common multiple of 9951 and 9959 is 99102009.