Least Common Multiple of 8853 and 8857
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8853 and 8857 the smallest integer that is 78411021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8853 and 8857 is 78411021.
LCM(8853,8857) = 78411021
LCM of 8853 and 8857
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8853 and 8857 by Prime method
- Least Common Multiple of 8853 and 8857 with GCF Formula
LCM of 8853 and 8857 is 78411021
Least common multiple can be found by multiplying the highest exponent prime factors of 8853 and 8857. First we will calculate the prime factors of 8853 and 8857.
Prime Factorization of 8853
| 3 | 8853 |
| 13 | 2951 |
| 227 | 227 |
| 1 |
Prime factors of 8853 are 3, 13,227. Prime factorization of 8853 in exponential form is:
8853 = 31×131×2271
Prime Factorization of 8857
| 17 | 8857 |
| 521 | 521 |
| 1 |
Prime factors of 8857 are 17,521. Prime factorization of 8857 in exponential form is:
8857 = 171×5211
Now multiplying the highest exponent prime factors to calculate the LCM of 8853 and 8857.
LCM(8853,8857) = 31×131×171×2271×5211
LCM(8853,8857) = 78411021
Factors of 8853
List of positive integer factors of 8853 that divides 8853 without a remainder.
1, 3, 13, 39, 227, 681, 2951, 8853
Factors of 8857
List of positive integer factors of 8857 that divides 8857 without a remainder.
1, 17, 521, 8857
Least Common Multiple of 8853 and 8857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8853 and 8857, than apply into the LCM equation.
GCF(8853,8857) = 1
LCM(8853,8857) = ( 8853 × 8857) / 1
LCM(8853,8857) = 78411021 / 1
LCM(8853,8857) = 78411021
Properties of LCM 8853 and 8857
(i) The LCM of 8857 and 8853 is associative
LCM of 8853 and 8857 = LCM of 8857 and 8853
Related Least Common Multiples of 8853
Related Least Common Multiples of 8857
Frequently Asked Questions on LCM of 8853 and 8857
1. What is the LCM of 8853 and 8857?
Answer: LCM of 8853 and 8857 is 78411021.
2. What are the Factors of 8853?
Answer: Factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853. There are 8 integers that are factors of 8853. The greatest factor of 8853 is 8853.
3. What are the Factors of 8857?
Answer: Factors of 8857 are 1, 17, 521, 8857. There are 4 integers that are factors of 8857. The greatest factor of 8857 is 8857.
4. How to Find the LCM of 8853 and 8857?
Answer:
Least Common Multiple of 8853 and 8857 = 78411021
Step 1: Find the prime factorization of 8853
8853 = 3 x 13 x 227
Step 2: Find the prime factorization of 8857
8857 = 17 x 521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78411021 = 3 x 13 x 17 x 227 x 521
Step 4: Therefore, the least common multiple of 8853 and 8857 is 78411021.