Least Common Multiple of 963 and 967
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 967 the smallest integer that is 931221 that is divisible by both numbers.
Least Common Multiple (LCM) of 963 and 967 is 931221.
LCM(963,967) = 931221
LCM of 963 and 967
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 963 and 967 by Prime method
- Least Common Multiple of 963 and 967 with GCF Formula
LCM of 963 and 967 is 931221
Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 967. First we will calculate the prime factors of 963 and 967.
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 967
| 967 | 967 |
| 1 |
Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:
967 = 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 963 and 967.
LCM(963,967) = 32×1071×9671
LCM(963,967) = 931221
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1, 967
Least Common Multiple of 963 and 967 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 967, than apply into the LCM equation.
GCF(963,967) = 1
LCM(963,967) = ( 963 × 967) / 1
LCM(963,967) = 931221 / 1
LCM(963,967) = 931221
Properties of LCM 963 and 967
(i) The LCM of 967 and 963 is associative
LCM of 963 and 967 = LCM of 967 and 963
Related Least Common Multiples of 963
Related Least Common Multiples of 967
Frequently Asked Questions on LCM of 963 and 967
1. What is the LCM of 963 and 967?
Answer: LCM of 963 and 967 is 931221.
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 967?
Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.
4. How to Find the LCM of 963 and 967?
Answer:
Least Common Multiple of 963 and 967 = 931221
Step 1: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 2: Find the prime factorization of 967
967 = 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 931221 = 3 x 3 x 107 x 967
Step 4: Therefore, the least common multiple of 963 and 967 is 931221.