Least Common Multiple of 955 and 957
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 955 and 957 the smallest integer that is 913935 that is divisible by both numbers.
Least Common Multiple (LCM) of 955 and 957 is 913935.
LCM(955,957) = 913935
LCM of 955 and 957
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 955 and 957 by Prime method
- Least Common Multiple of 955 and 957 with GCF Formula
LCM of 955 and 957 is 913935
Least common multiple can be found by multiplying the highest exponent prime factors of 955 and 957. First we will calculate the prime factors of 955 and 957.
Prime Factorization of 955
| 5 | 955 |
| 191 | 191 |
| 1 |
Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:
955 = 51×1911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 955 and 957.
LCM(955,957) = 31×51×111×291×1911
LCM(955,957) = 913935
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Least Common Multiple of 955 and 957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 955 and 957, than apply into the LCM equation.
GCF(955,957) = 1
LCM(955,957) = ( 955 × 957) / 1
LCM(955,957) = 913935 / 1
LCM(955,957) = 913935
Properties of LCM 955 and 957
(i) The LCM of 957 and 955 is associative
LCM of 955 and 957 = LCM of 957 and 955
Related Least Common Multiples of 955
Related Least Common Multiples of 957
Frequently Asked Questions on LCM of 955 and 957
1. What is the LCM of 955 and 957?
Answer: LCM of 955 and 957 is 913935.
2. What are the Factors of 955?
Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.
3. 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.
4. How to Find the LCM of 955 and 957?
Answer:
Least Common Multiple of 955 and 957 = 913935
Step 1: Find the prime factorization of 955
955 = 5 x 191
Step 2: Find the prime factorization of 957
957 = 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 913935 = 3 x 5 x 11 x 29 x 191
Step 4: Therefore, the least common multiple of 955 and 957 is 913935.
