Least Common Multiple of 961 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 961 and 967 the smallest integer that is 929287 that is divisible by both numbers.
Least Common Multiple (LCM) of 961 and 967 is 929287.
LCM(961,967) = 929287
LCM of 961 and 967
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 961 and 967 by Prime method
- Least Common Multiple of 961 and 967 with GCF Formula
LCM of 961 and 967 is 929287
Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 967. First we will calculate the prime factors of 961 and 967.
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 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 961 and 967.
LCM(961,967) = 312×9671
LCM(961,967) = 929287
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1, 31, 961
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1, 967
Least Common Multiple of 961 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 961 and 967, than apply into the LCM equation.
GCF(961,967) = 1
LCM(961,967) = ( 961 × 967) / 1
LCM(961,967) = 929287 / 1
LCM(961,967) = 929287
Properties of LCM 961 and 967
(i) The LCM of 967 and 961 is associative
LCM of 961 and 967 = LCM of 967 and 961
Related Least Common Multiples of 961
Related Least Common Multiples of 967
Frequently Asked Questions on LCM of 961 and 967
1. What is the LCM of 961 and 967?
Answer: LCM of 961 and 967 is 929287.
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 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 961 and 967?
Answer:
Least Common Multiple of 961 and 967 = 929287
Step 1: Find the prime factorization of 961
961 = 31 x 31
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 = 929287 = 31 x 31 x 967
Step 4: Therefore, the least common multiple of 961 and 967 is 929287.