Least Common Multiple of 957 and 961
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 957 and 961 the smallest integer that is 919677 that is divisible by both numbers.
Least Common Multiple (LCM) of 957 and 961 is 919677.
LCM(957,961) = 919677
LCM of 957 and 961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 957 and 961 by Prime method
- Least Common Multiple of 957 and 961 with GCF Formula
LCM of 957 and 961 is 919677
Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 961. First we will calculate the prime factors of 957 and 961.
Prime Factorization of 957
| 3 | 957 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:
957 = 31×111×291
Prime Factorization of 961
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:
961 = 312
Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 961.
LCM(957,961) = 31×111×291×312
LCM(957,961) = 919677
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1, 31, 961
Least Common Multiple of 957 and 961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 957 and 961, than apply into the LCM equation.
GCF(957,961) = 1
LCM(957,961) = ( 957 × 961) / 1
LCM(957,961) = 919677 / 1
LCM(957,961) = 919677
Properties of LCM 957 and 961
(i) The LCM of 961 and 957 is associative
LCM of 957 and 961 = LCM of 961 and 957
Related Least Common Multiples of 957
Related Least Common Multiples of 961
Frequently Asked Questions on LCM of 957 and 961
1. What is the LCM of 957 and 961?
Answer: LCM of 957 and 961 is 919677.
2. What are the Factors of 957?
Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.
3. What are the Factors of 961?
Answer: Factors of 961 are 1, 31, 961. There are 3 integers that are factors of 961. The greatest factor of 961 is 961.
4. How to Find the LCM of 957 and 961?
Answer:
Least Common Multiple of 957 and 961 = 919677
Step 1: Find the prime factorization of 957
957 = 3 x 11 x 29
Step 2: Find the prime factorization of 961
961 = 31 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 919677 = 3 x 11 x 29 x 31 x 31
Step 4: Therefore, the least common multiple of 957 and 961 is 919677.