Least Common Multiple of 8874 and 8879
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8874 and 8879 the smallest integer that is 78792246 that is divisible by both numbers.
Least Common Multiple (LCM) of 8874 and 8879 is 78792246.
LCM(8874,8879) = 78792246
LCM of 8874 and 8879
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8874 and 8879 by Prime method
- Least Common Multiple of 8874 and 8879 with GCF Formula
LCM of 8874 and 8879 is 78792246
Least common multiple can be found by multiplying the highest exponent prime factors of 8874 and 8879. First we will calculate the prime factors of 8874 and 8879.
Prime Factorization of 8874
| 2 | 8874 |
| 3 | 4437 |
| 3 | 1479 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 8874 are 2, 3, 17,29. Prime factorization of 8874 in exponential form is:
8874 = 21×32×171×291
Prime Factorization of 8879
| 13 | 8879 |
| 683 | 683 |
| 1 |
Prime factors of 8879 are 13,683. Prime factorization of 8879 in exponential form is:
8879 = 131×6831
Now multiplying the highest exponent prime factors to calculate the LCM of 8874 and 8879.
LCM(8874,8879) = 21×32×131×171×291×6831
LCM(8874,8879) = 78792246
Factors of 8874
List of positive integer factors of 8874 that divides 8874 without a remainder.
1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
Factors of 8879
List of positive integer factors of 8879 that divides 8879 without a remainder.
1, 13, 683, 8879
Least Common Multiple of 8874 and 8879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8874 and 8879, than apply into the LCM equation.
GCF(8874,8879) = 1
LCM(8874,8879) = ( 8874 × 8879) / 1
LCM(8874,8879) = 78792246 / 1
LCM(8874,8879) = 78792246
Properties of LCM 8874 and 8879
(i) The LCM of 8879 and 8874 is associative
LCM of 8874 and 8879 = LCM of 8879 and 8874
Related Least Common Multiples of 8874
Related Least Common Multiples of 8879
Frequently Asked Questions on LCM of 8874 and 8879
1. What is the LCM of 8874 and 8879?
Answer: LCM of 8874 and 8879 is 78792246.
2. What are the Factors of 8874?
Answer: Factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874. There are 24 integers that are factors of 8874. The greatest factor of 8874 is 8874.
3. What are the Factors of 8879?
Answer: Factors of 8879 are 1, 13, 683, 8879. There are 4 integers that are factors of 8879. The greatest factor of 8879 is 8879.
4. How to Find the LCM of 8874 and 8879?
Answer:
Least Common Multiple of 8874 and 8879 = 78792246
Step 1: Find the prime factorization of 8874
8874 = 2 x 3 x 3 x 17 x 29
Step 2: Find the prime factorization of 8879
8879 = 13 x 683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78792246 = 2 x 3 x 3 x 13 x 17 x 29 x 683
Step 4: Therefore, the least common multiple of 8874 and 8879 is 78792246.