Least Common Multiple of 2967 and 2975
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2967 and 2975 the smallest integer that is 8826825 that is divisible by both numbers.
Least Common Multiple (LCM) of 2967 and 2975 is 8826825.
LCM(2967,2975) = 8826825
LCM of 2967 and 2975
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2967 and 2975 by Prime method
- Least Common Multiple of 2967 and 2975 with GCF Formula
LCM of 2967 and 2975 is 8826825
Least common multiple can be found by multiplying the highest exponent prime factors of 2967 and 2975. First we will calculate the prime factors of 2967 and 2975.
Prime Factorization of 2967
| 3 | 2967 |
| 23 | 989 |
| 43 | 43 |
| 1 |
Prime factors of 2967 are 3, 23,43. Prime factorization of 2967 in exponential form is:
2967 = 31×231×431
Prime Factorization of 2975
| 5 | 2975 |
| 5 | 595 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 2975 are 5, 7,17. Prime factorization of 2975 in exponential form is:
2975 = 52×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 2967 and 2975.
LCM(2967,2975) = 31×52×71×171×231×431
LCM(2967,2975) = 8826825
Factors of 2967
List of positive integer factors of 2967 that divides 2967 without a remainder.
1, 3, 23, 43, 69, 129, 989, 2967
Factors of 2975
List of positive integer factors of 2975 that divides 2975 without a remainder.
1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
Least Common Multiple of 2967 and 2975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2967 and 2975, than apply into the LCM equation.
GCF(2967,2975) = 1
LCM(2967,2975) = ( 2967 × 2975) / 1
LCM(2967,2975) = 8826825 / 1
LCM(2967,2975) = 8826825
Properties of LCM 2967 and 2975
(i) The LCM of 2975 and 2967 is associative
LCM of 2967 and 2975 = LCM of 2975 and 2967
Related Least Common Multiples of 2967
Related Least Common Multiples of 2975
Frequently Asked Questions on LCM of 2967 and 2975
1. What is the LCM of 2967 and 2975?
Answer: LCM of 2967 and 2975 is 8826825.
2. What are the Factors of 2967?
Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.
3. What are the Factors of 2975?
Answer: Factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975. There are 12 integers that are factors of 2975. The greatest factor of 2975 is 2975.
4. How to Find the LCM of 2967 and 2975?
Answer:
Least Common Multiple of 2967 and 2975 = 8826825
Step 1: Find the prime factorization of 2967
2967 = 3 x 23 x 43
Step 2: Find the prime factorization of 2975
2975 = 5 x 5 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8826825 = 3 x 5 x 5 x 7 x 17 x 23 x 43
Step 4: Therefore, the least common multiple of 2967 and 2975 is 8826825.