Least Common Multiple of 8843 and 8850
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8843 and 8850 the smallest integer that is 78260550 that is divisible by both numbers.
Least Common Multiple (LCM) of 8843 and 8850 is 78260550.
LCM(8843,8850) = 78260550
LCM of 8843 and 8850
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8843 and 8850 by Prime method
- Least Common Multiple of 8843 and 8850 with GCF Formula
LCM of 8843 and 8850 is 78260550
Least common multiple can be found by multiplying the highest exponent prime factors of 8843 and 8850. First we will calculate the prime factors of 8843 and 8850.
Prime Factorization of 8843
| 37 | 8843 |
| 239 | 239 |
| 1 |
Prime factors of 8843 are 37,239. Prime factorization of 8843 in exponential form is:
8843 = 371×2391
Prime Factorization of 8850
| 2 | 8850 |
| 3 | 4425 |
| 5 | 1475 |
| 5 | 295 |
| 59 | 59 |
| 1 |
Prime factors of 8850 are 2, 3, 5,59. Prime factorization of 8850 in exponential form is:
8850 = 21×31×52×591
Now multiplying the highest exponent prime factors to calculate the LCM of 8843 and 8850.
LCM(8843,8850) = 21×31×52×371×591×2391
LCM(8843,8850) = 78260550
Factors of 8843
List of positive integer factors of 8843 that divides 8843 without a remainder.
1, 37, 239, 8843
Factors of 8850
List of positive integer factors of 8850 that divides 8850 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
Least Common Multiple of 8843 and 8850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8843 and 8850, than apply into the LCM equation.
GCF(8843,8850) = 1
LCM(8843,8850) = ( 8843 × 8850) / 1
LCM(8843,8850) = 78260550 / 1
LCM(8843,8850) = 78260550
Properties of LCM 8843 and 8850
(i) The LCM of 8850 and 8843 is associative
LCM of 8843 and 8850 = LCM of 8850 and 8843
Related Least Common Multiples of 8843
Related Least Common Multiples of 8850
Frequently Asked Questions on LCM of 8843 and 8850
1. What is the LCM of 8843 and 8850?
Answer: LCM of 8843 and 8850 is 78260550.
2. What are the Factors of 8843?
Answer: Factors of 8843 are 1, 37, 239, 8843. There are 4 integers that are factors of 8843. The greatest factor of 8843 is 8843.
3. What are the Factors of 8850?
Answer: Factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850. There are 24 integers that are factors of 8850. The greatest factor of 8850 is 8850.
4. How to Find the LCM of 8843 and 8850?
Answer:
Least Common Multiple of 8843 and 8850 = 78260550
Step 1: Find the prime factorization of 8843
8843 = 37 x 239
Step 2: Find the prime factorization of 8850
8850 = 2 x 3 x 5 x 5 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78260550 = 2 x 3 x 5 x 5 x 37 x 59 x 239
Step 4: Therefore, the least common multiple of 8843 and 8850 is 78260550.