Least Common Multiple of 8873 and 8874
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8873 and 8874 the smallest integer that is 78739002 that is divisible by both numbers.
Least Common Multiple (LCM) of 8873 and 8874 is 78739002.
LCM(8873,8874) = 78739002
LCM of 8873 and 8874
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8873 and 8874 by Prime method
- Least Common Multiple of 8873 and 8874 with GCF Formula
LCM of 8873 and 8874 is 78739002
Least common multiple can be found by multiplying the highest exponent prime factors of 8873 and 8874. First we will calculate the prime factors of 8873 and 8874.
Prime Factorization of 8873
| 19 | 8873 |
| 467 | 467 |
| 1 |
Prime factors of 8873 are 19,467. Prime factorization of 8873 in exponential form is:
8873 = 191×4671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8873 and 8874.
LCM(8873,8874) = 21×32×171×191×291×4671
LCM(8873,8874) = 78739002
Factors of 8873
List of positive integer factors of 8873 that divides 8873 without a remainder.
1, 19, 467, 8873
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
Least Common Multiple of 8873 and 8874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8873 and 8874, than apply into the LCM equation.
GCF(8873,8874) = 1
LCM(8873,8874) = ( 8873 × 8874) / 1
LCM(8873,8874) = 78739002 / 1
LCM(8873,8874) = 78739002
Properties of LCM 8873 and 8874
(i) The LCM of 8874 and 8873 is associative
LCM of 8873 and 8874 = LCM of 8874 and 8873
Related Least Common Multiples of 8873
Related Least Common Multiples of 8874
Frequently Asked Questions on LCM of 8873 and 8874
1. What is the LCM of 8873 and 8874?
Answer: LCM of 8873 and 8874 is 78739002.
2. What are the Factors of 8873?
Answer: Factors of 8873 are 1, 19, 467, 8873. There are 4 integers that are factors of 8873. The greatest factor of 8873 is 8873.
3. 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.
4. How to Find the LCM of 8873 and 8874?
Answer:
Least Common Multiple of 8873 and 8874 = 78739002
Step 1: Find the prime factorization of 8873
8873 = 19 x 467
Step 2: Find the prime factorization of 8874
8874 = 2 x 3 x 3 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78739002 = 2 x 3 x 3 x 17 x 19 x 29 x 467
Step 4: Therefore, the least common multiple of 8873 and 8874 is 78739002.