Least Common Multiple of 963 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 963 and 965 the smallest integer that is 929295 that is divisible by both numbers.
Least Common Multiple (LCM) of 963 and 965 is 929295.
LCM(963,965) = 929295
LCM of 963 and 965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 963 and 965 by Prime method
- Least Common Multiple of 963 and 965 with GCF Formula
LCM of 963 and 965 is 929295
Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 965. First we will calculate the prime factors of 963 and 965.
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
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 963 and 965.
LCM(963,965) = 32×51×1071×1931
LCM(963,965) = 929295
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Least Common Multiple of 963 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 963 and 965, than apply into the LCM equation.
GCF(963,965) = 1
LCM(963,965) = ( 963 × 965) / 1
LCM(963,965) = 929295 / 1
LCM(963,965) = 929295
Properties of LCM 963 and 965
(i) The LCM of 965 and 963 is associative
LCM of 963 and 965 = LCM of 965 and 963
Related Least Common Multiples of 963
Related Least Common Multiples of 965
Frequently Asked Questions on LCM of 963 and 965
1. What is the LCM of 963 and 965?
Answer: LCM of 963 and 965 is 929295.
2. 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.
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 963 and 965?
Answer:
Least Common Multiple of 963 and 965 = 929295
Step 1: Find the prime factorization of 963
963 = 3 x 3 x 107
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 = 929295 = 3 x 3 x 5 x 107 x 193
Step 4: Therefore, the least common multiple of 963 and 965 is 929295.