Least Common Multiple of 8967 and 8975
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8967 and 8975 the smallest integer that is 80478825 that is divisible by both numbers.
Least Common Multiple (LCM) of 8967 and 8975 is 80478825.
LCM(8967,8975) = 80478825
LCM of 8967 and 8975
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8967 and 8975 by Prime method
- Least Common Multiple of 8967 and 8975 with GCF Formula
LCM of 8967 and 8975 is 80478825
Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8975. First we will calculate the prime factors of 8967 and 8975.
Prime Factorization of 8967
| 3 | 8967 |
| 7 | 2989 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 8967 are 3, 7,61. Prime factorization of 8967 in exponential form is:
8967 = 31×72×611
Prime Factorization of 8975
| 5 | 8975 |
| 5 | 1795 |
| 359 | 359 |
| 1 |
Prime factors of 8975 are 5,359. Prime factorization of 8975 in exponential form is:
8975 = 52×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8975.
LCM(8967,8975) = 31×52×72×611×3591
LCM(8967,8975) = 80478825
Factors of 8967
List of positive integer factors of 8967 that divides 8967 without a remainder.
1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
Factors of 8975
List of positive integer factors of 8975 that divides 8975 without a remainder.
1, 5, 25, 359, 1795, 8975
Least Common Multiple of 8967 and 8975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8967 and 8975, than apply into the LCM equation.
GCF(8967,8975) = 1
LCM(8967,8975) = ( 8967 × 8975) / 1
LCM(8967,8975) = 80478825 / 1
LCM(8967,8975) = 80478825
Properties of LCM 8967 and 8975
(i) The LCM of 8975 and 8967 is associative
LCM of 8967 and 8975 = LCM of 8975 and 8967
Related Least Common Multiples of 8967
Related Least Common Multiples of 8975
Frequently Asked Questions on LCM of 8967 and 8975
1. What is the LCM of 8967 and 8975?
Answer: LCM of 8967 and 8975 is 80478825.
2. What are the Factors of 8967?
Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.
3. What are the Factors of 8975?
Answer: Factors of 8975 are 1, 5, 25, 359, 1795, 8975. There are 6 integers that are factors of 8975. The greatest factor of 8975 is 8975.
4. How to Find the LCM of 8967 and 8975?
Answer:
Least Common Multiple of 8967 and 8975 = 80478825
Step 1: Find the prime factorization of 8967
8967 = 3 x 7 x 7 x 61
Step 2: Find the prime factorization of 8975
8975 = 5 x 5 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80478825 = 3 x 5 x 5 x 7 x 7 x 61 x 359
Step 4: Therefore, the least common multiple of 8967 and 8975 is 80478825.