Least Common Multiple of 8862 and 8869
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8862 and 8869 the smallest integer that is 11228154 that is divisible by both numbers.
Least Common Multiple (LCM) of 8862 and 8869 is 11228154.
LCM(8862,8869) = 11228154
LCM of 8862 and 8869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8862 and 8869 by Prime method
- Least Common Multiple of 8862 and 8869 with GCF Formula
LCM of 8862 and 8869 is 11228154
Least common multiple can be found by multiplying the highest exponent prime factors of 8862 and 8869. First we will calculate the prime factors of 8862 and 8869.
Prime Factorization of 8862
| 2 | 8862 |
| 3 | 4431 |
| 7 | 1477 |
| 211 | 211 |
| 1 |
Prime factors of 8862 are 2, 3, 7,211. Prime factorization of 8862 in exponential form is:
8862 = 21×31×71×2111
Prime Factorization of 8869
| 7 | 8869 |
| 7 | 1267 |
| 181 | 181 |
| 1 |
Prime factors of 8869 are 7,181. Prime factorization of 8869 in exponential form is:
8869 = 72×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 8862 and 8869.
LCM(8862,8869) = 21×31×72×1811×2111
LCM(8862,8869) = 11228154
Factors of 8862
List of positive integer factors of 8862 that divides 8862 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862
Factors of 8869
List of positive integer factors of 8869 that divides 8869 without a remainder.
1, 7, 49, 181, 1267, 8869
Least Common Multiple of 8862 and 8869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8862 and 8869, than apply into the LCM equation.
GCF(8862,8869) = 7
LCM(8862,8869) = ( 8862 × 8869) / 7
LCM(8862,8869) = 78597078 / 7
LCM(8862,8869) = 11228154
Properties of LCM 8862 and 8869
(i) The LCM of 8869 and 8862 is associative
LCM of 8862 and 8869 = LCM of 8869 and 8862
Related Least Common Multiples of 8862
Related Least Common Multiples of 8869
Frequently Asked Questions on LCM of 8862 and 8869
1. What is the LCM of 8862 and 8869?
Answer: LCM of 8862 and 8869 is 11228154.
2. What are the Factors of 8862?
Answer: Factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862. There are 16 integers that are factors of 8862. The greatest factor of 8862 is 8862.
3. What are the Factors of 8869?
Answer: Factors of 8869 are 1, 7, 49, 181, 1267, 8869. There are 6 integers that are factors of 8869. The greatest factor of 8869 is 8869.
4. How to Find the LCM of 8862 and 8869?
Answer:
Least Common Multiple of 8862 and 8869 = 11228154
Step 1: Find the prime factorization of 8862
8862 = 2 x 3 x 7 x 211
Step 2: Find the prime factorization of 8869
8869 = 7 x 7 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11228154 = 2 x 3 x 7 x 7 x 181 x 211
Step 4: Therefore, the least common multiple of 8862 and 8869 is 11228154.