Least Common Multiple of 957 and 965
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 965 the smallest integer that is 923505 that is divisible by both numbers.
Least Common Multiple (LCM) of 957 and 965 is 923505.
LCM(957,965) = 923505
LCM of 957 and 965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 957 and 965 by Prime method
- Least Common Multiple of 957 and 965 with GCF Formula
LCM of 957 and 965 is 923505
Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 965. First we will calculate the prime factors of 957 and 965.
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 965
| 5 | 965 |
| 193 | 193 |
| 1 |
Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:
965 = 51×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 965.
LCM(957,965) = 31×51×111×291×1931
LCM(957,965) = 923505
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 965
List of positive integer factors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Least Common Multiple of 957 and 965 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 965, than apply into the LCM equation.
GCF(957,965) = 1
LCM(957,965) = ( 957 × 965) / 1
LCM(957,965) = 923505 / 1
LCM(957,965) = 923505
Properties of LCM 957 and 965
(i) The LCM of 965 and 957 is associative
LCM of 957 and 965 = LCM of 965 and 957
Related Least Common Multiples of 957
Related Least Common Multiples of 965
Frequently Asked Questions on LCM of 957 and 965
1. What is the LCM of 957 and 965?
Answer: LCM of 957 and 965 is 923505.
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 965?
Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.
4. How to Find the LCM of 957 and 965?
Answer:
Least Common Multiple of 957 and 965 = 923505
Step 1: Find the prime factorization of 957
957 = 3 x 11 x 29
Step 2: Find the prime factorization of 965
965 = 5 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 923505 = 3 x 5 x 11 x 29 x 193
Step 4: Therefore, the least common multiple of 957 and 965 is 923505.