Least Common Multiple of 8181 and 8189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8181 and 8189 the smallest integer that is 66994209 that is divisible by both numbers.
Least Common Multiple (LCM) of 8181 and 8189 is 66994209.
LCM(8181,8189) = 66994209
LCM of 8181 and 8189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8181 and 8189 by Prime method
- Least Common Multiple of 8181 and 8189 with GCF Formula
LCM of 8181 and 8189 is 66994209
Least common multiple can be found by multiplying the highest exponent prime factors of 8181 and 8189. First we will calculate the prime factors of 8181 and 8189.
Prime Factorization of 8181
| 3 | 8181 |
| 3 | 2727 |
| 3 | 909 |
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:
8181 = 34×1011
Prime Factorization of 8189
| 19 | 8189 |
| 431 | 431 |
| 1 |
Prime factors of 8189 are 19,431. Prime factorization of 8189 in exponential form is:
8189 = 191×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 8181 and 8189.
LCM(8181,8189) = 34×191×1011×4311
LCM(8181,8189) = 66994209
Factors of 8181
List of positive integer factors of 8181 that divides 8181 without a remainder.
1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
Factors of 8189
List of positive integer factors of 8189 that divides 8189 without a remainder.
1, 19, 431, 8189
Least Common Multiple of 8181 and 8189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8181 and 8189, than apply into the LCM equation.
GCF(8181,8189) = 1
LCM(8181,8189) = ( 8181 × 8189) / 1
LCM(8181,8189) = 66994209 / 1
LCM(8181,8189) = 66994209
Properties of LCM 8181 and 8189
(i) The LCM of 8189 and 8181 is associative
LCM of 8181 and 8189 = LCM of 8189 and 8181
Related Least Common Multiples of 8181
Related Least Common Multiples of 8189
Frequently Asked Questions on LCM of 8181 and 8189
1. What is the LCM of 8181 and 8189?
Answer: LCM of 8181 and 8189 is 66994209.
2. What are the Factors of 8181?
Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.
3. What are the Factors of 8189?
Answer: Factors of 8189 are 1, 19, 431, 8189. There are 4 integers that are factors of 8189. The greatest factor of 8189 is 8189.
4. How to Find the LCM of 8181 and 8189?
Answer:
Least Common Multiple of 8181 and 8189 = 66994209
Step 1: Find the prime factorization of 8181
8181 = 3 x 3 x 3 x 3 x 101
Step 2: Find the prime factorization of 8189
8189 = 19 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66994209 = 3 x 3 x 3 x 3 x 19 x 101 x 431
Step 4: Therefore, the least common multiple of 8181 and 8189 is 66994209.