Least Common Multiple of 959 and 963
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 963 the smallest integer that is 923517 that is divisible by both numbers.
Least Common Multiple (LCM) of 959 and 963 is 923517.
LCM(959,963) = 923517
LCM of 959 and 963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 959 and 963 by Prime method
- Least Common Multiple of 959 and 963 with GCF Formula
LCM of 959 and 963 is 923517
Least common multiple can be found by multiplying the highest exponent prime factors of 959 and 963. First we will calculate the prime factors of 959 and 963.
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 963
| 3 | 963 |
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:
963 = 32×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 959 and 963.
LCM(959,963) = 32×71×1071×1371
LCM(959,963) = 923517
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Least Common Multiple of 959 and 963 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 963, than apply into the LCM equation.
GCF(959,963) = 1
LCM(959,963) = ( 959 × 963) / 1
LCM(959,963) = 923517 / 1
LCM(959,963) = 923517
Properties of LCM 959 and 963
(i) The LCM of 963 and 959 is associative
LCM of 959 and 963 = LCM of 963 and 959
Related Least Common Multiples of 959
Related Least Common Multiples of 963
Frequently Asked Questions on LCM of 959 and 963
1. What is the LCM of 959 and 963?
Answer: LCM of 959 and 963 is 923517.
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 963?
Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.
4. How to Find the LCM of 959 and 963?
Answer:
Least Common Multiple of 959 and 963 = 923517
Step 1: Find the prime factorization of 959
959 = 7 x 137
Step 2: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 923517 = 3 x 3 x 7 x 107 x 137
Step 4: Therefore, the least common multiple of 959 and 963 is 923517.