Least Common Multiple of 5957 and 5965
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5957 and 5965 the smallest integer that is 35533505 that is divisible by both numbers.
Least Common Multiple (LCM) of 5957 and 5965 is 35533505.
LCM(5957,5965) = 35533505
LCM of 5957 and 5965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5957 and 5965 by Prime method
- Least Common Multiple of 5957 and 5965 with GCF Formula
LCM of 5957 and 5965 is 35533505
Least common multiple can be found by multiplying the highest exponent prime factors of 5957 and 5965. First we will calculate the prime factors of 5957 and 5965.
Prime Factorization of 5957
| 7 | 5957 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 5957 are 7, 23,37. Prime factorization of 5957 in exponential form is:
5957 = 71×231×371
Prime Factorization of 5965
| 5 | 5965 |
| 1193 | 1193 |
| 1 |
Prime factors of 5965 are 5,1193. Prime factorization of 5965 in exponential form is:
5965 = 51×11931
Now multiplying the highest exponent prime factors to calculate the LCM of 5957 and 5965.
LCM(5957,5965) = 51×71×231×371×11931
LCM(5957,5965) = 35533505
Factors of 5957
List of positive integer factors of 5957 that divides 5957 without a remainder.
1, 7, 23, 37, 161, 259, 851, 5957
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1, 5, 1193, 5965
Least Common Multiple of 5957 and 5965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5957 and 5965, than apply into the LCM equation.
GCF(5957,5965) = 1
LCM(5957,5965) = ( 5957 × 5965) / 1
LCM(5957,5965) = 35533505 / 1
LCM(5957,5965) = 35533505
Properties of LCM 5957 and 5965
(i) The LCM of 5965 and 5957 is associative
LCM of 5957 and 5965 = LCM of 5965 and 5957
Related Least Common Multiples of 5957
Related Least Common Multiples of 5965
Frequently Asked Questions on LCM of 5957 and 5965
1. What is the LCM of 5957 and 5965?
Answer: LCM of 5957 and 5965 is 35533505.
2. What are the Factors of 5957?
Answer: Factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957. There are 8 integers that are factors of 5957. The greatest factor of 5957 is 5957.
3. What are the Factors of 5965?
Answer: Factors of 5965 are 1, 5, 1193, 5965. There are 4 integers that are factors of 5965. The greatest factor of 5965 is 5965.
4. How to Find the LCM of 5957 and 5965?
Answer:
Least Common Multiple of 5957 and 5965 = 35533505
Step 1: Find the prime factorization of 5957
5957 = 7 x 23 x 37
Step 2: Find the prime factorization of 5965
5965 = 5 x 1193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35533505 = 5 x 7 x 23 x 37 x 1193
Step 4: Therefore, the least common multiple of 5957 and 5965 is 35533505.