Least Common Multiple of 959 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 959 and 961 the smallest integer that is 921599 that is divisible by both numbers.
Least Common Multiple (LCM) of 959 and 961 is 921599.
LCM(959,961) = 921599
LCM of 959 and 961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 959 and 961 by Prime method
- Least Common Multiple of 959 and 961 with GCF Formula
LCM of 959 and 961 is 921599
Least common multiple can be found by multiplying the highest exponent prime factors of 959 and 961. First we will calculate the prime factors of 959 and 961.
Prime Factorization of 959
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:
959 = 71×1371
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 959 and 961.
LCM(959,961) = 71×312×1371
LCM(959,961) = 921599
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1, 31, 961
Least Common Multiple of 959 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 959 and 961, than apply into the LCM equation.
GCF(959,961) = 1
LCM(959,961) = ( 959 × 961) / 1
LCM(959,961) = 921599 / 1
LCM(959,961) = 921599
Properties of LCM 959 and 961
(i) The LCM of 961 and 959 is associative
LCM of 959 and 961 = LCM of 961 and 959
Related Least Common Multiples of 959
Related Least Common Multiples of 961
Frequently Asked Questions on LCM of 959 and 961
1. What is the LCM of 959 and 961?
Answer: LCM of 959 and 961 is 921599.
2. What are the Factors of 959?
Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.
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 959 and 961?
Answer:
Least Common Multiple of 959 and 961 = 921599
Step 1: Find the prime factorization of 959
959 = 7 x 137
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 = 921599 = 7 x 31 x 31 x 137
Step 4: Therefore, the least common multiple of 959 and 961 is 921599.