Least Common Multiple of 8853 and 8861
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 8861 the smallest integer that is 78446433 that is divisible by both numbers.
Least Common Multiple (LCM) of 8853 and 8861 is 78446433.
LCM(8853,8861) = 78446433
LCM of 8853 and 8861
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8853 and 8861 by Prime method
- Least Common Multiple of 8853 and 8861 with GCF Formula
LCM of 8853 and 8861 is 78446433
Least common multiple can be found by multiplying the highest exponent prime factors of 8853 and 8861. First we will calculate the prime factors of 8853 and 8861.
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 8861
| 8861 | 8861 |
| 1 |
Prime factors of 8861 are 8861. Prime factorization of 8861 in exponential form is:
8861 = 88611
Now multiplying the highest exponent prime factors to calculate the LCM of 8853 and 8861.
LCM(8853,8861) = 31×131×2271×88611
LCM(8853,8861) = 78446433
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 8861
List of positive integer factors of 8861 that divides 8861 without a remainder.
1, 8861
Least Common Multiple of 8853 and 8861 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 8861, than apply into the LCM equation.
GCF(8853,8861) = 1
LCM(8853,8861) = ( 8853 × 8861) / 1
LCM(8853,8861) = 78446433 / 1
LCM(8853,8861) = 78446433
Properties of LCM 8853 and 8861
(i) The LCM of 8861 and 8853 is associative
LCM of 8853 and 8861 = LCM of 8861 and 8853
Related Least Common Multiples of 8853
Related Least Common Multiples of 8861
Frequently Asked Questions on LCM of 8853 and 8861
1. What is the LCM of 8853 and 8861?
Answer: LCM of 8853 and 8861 is 78446433.
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 8861?
Answer: Factors of 8861 are 1, 8861. There are 2 integers that are factors of 8861. The greatest factor of 8861 is 8861.
4. How to Find the LCM of 8853 and 8861?
Answer:
Least Common Multiple of 8853 and 8861 = 78446433
Step 1: Find the prime factorization of 8853
8853 = 3 x 13 x 227
Step 2: Find the prime factorization of 8861
8861 = 8861
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78446433 = 3 x 13 x 227 x 8861
Step 4: Therefore, the least common multiple of 8853 and 8861 is 78446433.