Least Common Multiple of 955 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 955 and 961 the smallest integer that is 917755 that is divisible by both numbers.
Least Common Multiple (LCM) of 955 and 961 is 917755.
LCM(955,961) = 917755
LCM of 955 and 961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 955 and 961 by Prime method
- Least Common Multiple of 955 and 961 with GCF Formula
LCM of 955 and 961 is 917755
Least common multiple can be found by multiplying the highest exponent prime factors of 955 and 961. First we will calculate the prime factors of 955 and 961.
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 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 955 and 961.
LCM(955,961) = 51×312×1911
LCM(955,961) = 917755
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1, 31, 961
Least Common Multiple of 955 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 955 and 961, than apply into the LCM equation.
GCF(955,961) = 1
LCM(955,961) = ( 955 × 961) / 1
LCM(955,961) = 917755 / 1
LCM(955,961) = 917755
Properties of LCM 955 and 961
(i) The LCM of 961 and 955 is associative
LCM of 955 and 961 = LCM of 961 and 955
Related Least Common Multiples of 955
Related Least Common Multiples of 961
Frequently Asked Questions on LCM of 955 and 961
1. What is the LCM of 955 and 961?
Answer: LCM of 955 and 961 is 917755.
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 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 955 and 961?
Answer:
Least Common Multiple of 955 and 961 = 917755
Step 1: Find the prime factorization of 955
955 = 5 x 191
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 = 917755 = 5 x 31 x 31 x 191
Step 4: Therefore, the least common multiple of 955 and 961 is 917755.