Least Common Multiple of 8967 and 8974
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 8974 the smallest integer that is 11495694 that is divisible by both numbers.
Least Common Multiple (LCM) of 8967 and 8974 is 11495694.
LCM(8967,8974) = 11495694
LCM of 8967 and 8974
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8967 and 8974 by Prime method
- Least Common Multiple of 8967 and 8974 with GCF Formula
LCM of 8967 and 8974 is 11495694
Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8974. First we will calculate the prime factors of 8967 and 8974.
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 8974
| 2 | 8974 |
| 7 | 4487 |
| 641 | 641 |
| 1 |
Prime factors of 8974 are 2, 7,641. Prime factorization of 8974 in exponential form is:
8974 = 21×71×6411
Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8974.
LCM(8967,8974) = 21×31×72×611×6411
LCM(8967,8974) = 11495694
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 8974
List of positive integer factors of 8974 that divides 8974 without a remainder.
1, 2, 7, 14, 641, 1282, 4487, 8974
Least Common Multiple of 8967 and 8974 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 8974, than apply into the LCM equation.
GCF(8967,8974) = 7
LCM(8967,8974) = ( 8967 × 8974) / 7
LCM(8967,8974) = 80469858 / 7
LCM(8967,8974) = 11495694
Properties of LCM 8967 and 8974
(i) The LCM of 8974 and 8967 is associative
LCM of 8967 and 8974 = LCM of 8974 and 8967
Related Least Common Multiples of 8967
Related Least Common Multiples of 8974
Frequently Asked Questions on LCM of 8967 and 8974
1. What is the LCM of 8967 and 8974?
Answer: LCM of 8967 and 8974 is 11495694.
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 8974?
Answer: Factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974. There are 8 integers that are factors of 8974. The greatest factor of 8974 is 8974.
4. How to Find the LCM of 8967 and 8974?
Answer:
Least Common Multiple of 8967 and 8974 = 11495694
Step 1: Find the prime factorization of 8967
8967 = 3 x 7 x 7 x 61
Step 2: Find the prime factorization of 8974
8974 = 2 x 7 x 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11495694 = 2 x 3 x 7 x 7 x 61 x 641
Step 4: Therefore, the least common multiple of 8967 and 8974 is 11495694.