Least Common Multiple of 5959 and 5967
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5959 and 5967 the smallest integer that is 35557353 that is divisible by both numbers.
Least Common Multiple (LCM) of 5959 and 5967 is 35557353.
LCM(5959,5967) = 35557353
LCM of 5959 and 5967
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5959 and 5967 by Prime method
- Least Common Multiple of 5959 and 5967 with GCF Formula
LCM of 5959 and 5967 is 35557353
Least common multiple can be found by multiplying the highest exponent prime factors of 5959 and 5967. First we will calculate the prime factors of 5959 and 5967.
Prime Factorization of 5959
| 59 | 5959 |
| 101 | 101 |
| 1 |
Prime factors of 5959 are 59,101. Prime factorization of 5959 in exponential form is:
5959 = 591×1011
Prime Factorization of 5967
| 3 | 5967 |
| 3 | 1989 |
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 5967 are 3, 13,17. Prime factorization of 5967 in exponential form is:
5967 = 33×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 5959 and 5967.
LCM(5959,5967) = 33×131×171×591×1011
LCM(5959,5967) = 35557353
Factors of 5959
List of positive integer factors of 5959 that divides 5959 without a remainder.
1, 59, 101, 5959
Factors of 5967
List of positive integer factors of 5967 that divides 5967 without a remainder.
1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
Least Common Multiple of 5959 and 5967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5959 and 5967, than apply into the LCM equation.
GCF(5959,5967) = 1
LCM(5959,5967) = ( 5959 × 5967) / 1
LCM(5959,5967) = 35557353 / 1
LCM(5959,5967) = 35557353
Properties of LCM 5959 and 5967
(i) The LCM of 5967 and 5959 is associative
LCM of 5959 and 5967 = LCM of 5967 and 5959
Related Least Common Multiples of 5959
Related Least Common Multiples of 5967
Frequently Asked Questions on LCM of 5959 and 5967
1. What is the LCM of 5959 and 5967?
Answer: LCM of 5959 and 5967 is 35557353.
2. What are the Factors of 5959?
Answer: Factors of 5959 are 1, 59, 101, 5959. There are 4 integers that are factors of 5959. The greatest factor of 5959 is 5959.
3. What are the Factors of 5967?
Answer: Factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. There are 16 integers that are factors of 5967. The greatest factor of 5967 is 5967.
4. How to Find the LCM of 5959 and 5967?
Answer:
Least Common Multiple of 5959 and 5967 = 35557353
Step 1: Find the prime factorization of 5959
5959 = 59 x 101
Step 2: Find the prime factorization of 5967
5967 = 3 x 3 x 3 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35557353 = 3 x 3 x 3 x 13 x 17 x 59 x 101
Step 4: Therefore, the least common multiple of 5959 and 5967 is 35557353.