Least Common Multiple of 5957 and 5962
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 5962 the smallest integer that is 35515634 that is divisible by both numbers.
Least Common Multiple (LCM) of 5957 and 5962 is 35515634.
LCM(5957,5962) = 35515634
LCM of 5957 and 5962
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5957 and 5962 by Prime method
- Least Common Multiple of 5957 and 5962 with GCF Formula
LCM of 5957 and 5962 is 35515634
Least common multiple can be found by multiplying the highest exponent prime factors of 5957 and 5962. First we will calculate the prime factors of 5957 and 5962.
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 5962
| 2 | 5962 |
| 11 | 2981 |
| 271 | 271 |
| 1 |
Prime factors of 5962 are 2, 11,271. Prime factorization of 5962 in exponential form is:
5962 = 21×111×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 5957 and 5962.
LCM(5957,5962) = 21×71×111×231×371×2711
LCM(5957,5962) = 35515634
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 5962
List of positive integer factors of 5962 that divides 5962 without a remainder.
1, 2, 11, 22, 271, 542, 2981, 5962
Least Common Multiple of 5957 and 5962 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 5962, than apply into the LCM equation.
GCF(5957,5962) = 1
LCM(5957,5962) = ( 5957 × 5962) / 1
LCM(5957,5962) = 35515634 / 1
LCM(5957,5962) = 35515634
Properties of LCM 5957 and 5962
(i) The LCM of 5962 and 5957 is associative
LCM of 5957 and 5962 = LCM of 5962 and 5957
Related Least Common Multiples of 5957
Related Least Common Multiples of 5962
Frequently Asked Questions on LCM of 5957 and 5962
1. What is the LCM of 5957 and 5962?
Answer: LCM of 5957 and 5962 is 35515634.
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 5962?
Answer: Factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962. There are 8 integers that are factors of 5962. The greatest factor of 5962 is 5962.
4. How to Find the LCM of 5957 and 5962?
Answer:
Least Common Multiple of 5957 and 5962 = 35515634
Step 1: Find the prime factorization of 5957
5957 = 7 x 23 x 37
Step 2: Find the prime factorization of 5962
5962 = 2 x 11 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35515634 = 2 x 7 x 11 x 23 x 37 x 271
Step 4: Therefore, the least common multiple of 5957 and 5962 is 35515634.