Least Common Multiple of 961 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 961 and 965 the smallest integer that is 927365 that is divisible by both numbers.
Least Common Multiple (LCM) of 961 and 965 is 927365.
LCM(961,965) = 927365
LCM of 961 and 965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 961 and 965 by Prime method
- Least Common Multiple of 961 and 965 with GCF Formula
LCM of 961 and 965 is 927365
Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 965. First we will calculate the prime factors of 961 and 965.
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
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 961 and 965.
LCM(961,965) = 51×312×1931
LCM(961,965) = 927365
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1, 31, 961
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Least Common Multiple of 961 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 961 and 965, than apply into the LCM equation.
GCF(961,965) = 1
LCM(961,965) = ( 961 × 965) / 1
LCM(961,965) = 927365 / 1
LCM(961,965) = 927365
Properties of LCM 961 and 965
(i) The LCM of 965 and 961 is associative
LCM of 961 and 965 = LCM of 965 and 961
Related Least Common Multiples of 961
Related Least Common Multiples of 965
Frequently Asked Questions on LCM of 961 and 965
1. What is the LCM of 961 and 965?
Answer: LCM of 961 and 965 is 927365.
2. 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.
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 961 and 965?
Answer:
Least Common Multiple of 961 and 965 = 927365
Step 1: Find the prime factorization of 961
961 = 31 x 31
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 = 927365 = 5 x 31 x 31 x 193
Step 4: Therefore, the least common multiple of 961 and 965 is 927365.