Least Common Multiple of 8967 and 8970
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 8970 the smallest integer that is 26811330 that is divisible by both numbers.
Least Common Multiple (LCM) of 8967 and 8970 is 26811330.
LCM(8967,8970) = 26811330
LCM of 8967 and 8970
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8967 and 8970 by Prime method
- Least Common Multiple of 8967 and 8970 with GCF Formula
LCM of 8967 and 8970 is 26811330
Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8970. First we will calculate the prime factors of 8967 and 8970.
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 8970
| 2 | 8970 |
| 3 | 4485 |
| 5 | 1495 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 8970 are 2, 3, 5, 13,23. Prime factorization of 8970 in exponential form is:
8970 = 21×31×51×131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8970.
LCM(8967,8970) = 21×31×51×72×131×231×611
LCM(8967,8970) = 26811330
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 8970
List of positive integer factors of 8970 that divides 8970 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
Least Common Multiple of 8967 and 8970 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 8970, than apply into the LCM equation.
GCF(8967,8970) = 3
LCM(8967,8970) = ( 8967 × 8970) / 3
LCM(8967,8970) = 80433990 / 3
LCM(8967,8970) = 26811330
Properties of LCM 8967 and 8970
(i) The LCM of 8970 and 8967 is associative
LCM of 8967 and 8970 = LCM of 8970 and 8967
Related Least Common Multiples of 8967
Related Least Common Multiples of 8970
Frequently Asked Questions on LCM of 8967 and 8970
1. What is the LCM of 8967 and 8970?
Answer: LCM of 8967 and 8970 is 26811330.
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 8970?
Answer: Factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970. There are 32 integers that are factors of 8970. The greatest factor of 8970 is 8970.
4. How to Find the LCM of 8967 and 8970?
Answer:
Least Common Multiple of 8967 and 8970 = 26811330
Step 1: Find the prime factorization of 8967
8967 = 3 x 7 x 7 x 61
Step 2: Find the prime factorization of 8970
8970 = 2 x 3 x 5 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26811330 = 2 x 3 x 5 x 7 x 7 x 13 x 23 x 61
Step 4: Therefore, the least common multiple of 8967 and 8970 is 26811330.