Least Common Multiple of 8159 and 8166
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8159 and 8166 the smallest integer that is 66626394 that is divisible by both numbers.
Least Common Multiple (LCM) of 8159 and 8166 is 66626394.
LCM(8159,8166) = 66626394
LCM of 8159 and 8166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8159 and 8166 by Prime method
- Least Common Multiple of 8159 and 8166 with GCF Formula
LCM of 8159 and 8166 is 66626394
Least common multiple can be found by multiplying the highest exponent prime factors of 8159 and 8166. First we will calculate the prime factors of 8159 and 8166.
Prime Factorization of 8159
| 41 | 8159 |
| 199 | 199 |
| 1 |
Prime factors of 8159 are 41,199. Prime factorization of 8159 in exponential form is:
8159 = 411×1991
Prime Factorization of 8166
| 2 | 8166 |
| 3 | 4083 |
| 1361 | 1361 |
| 1 |
Prime factors of 8166 are 2, 3,1361. Prime factorization of 8166 in exponential form is:
8166 = 21×31×13611
Now multiplying the highest exponent prime factors to calculate the LCM of 8159 and 8166.
LCM(8159,8166) = 21×31×411×1991×13611
LCM(8159,8166) = 66626394
Factors of 8159
List of positive integer factors of 8159 that divides 8159 without a remainder.
1, 41, 199, 8159
Factors of 8166
List of positive integer factors of 8166 that divides 8166 without a remainder.
1, 2, 3, 6, 1361, 2722, 4083, 8166
Least Common Multiple of 8159 and 8166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8159 and 8166, than apply into the LCM equation.
GCF(8159,8166) = 1
LCM(8159,8166) = ( 8159 × 8166) / 1
LCM(8159,8166) = 66626394 / 1
LCM(8159,8166) = 66626394
Properties of LCM 8159 and 8166
(i) The LCM of 8166 and 8159 is associative
LCM of 8159 and 8166 = LCM of 8166 and 8159
Related Least Common Multiples of 8159
Related Least Common Multiples of 8166
Frequently Asked Questions on LCM of 8159 and 8166
1. What is the LCM of 8159 and 8166?
Answer: LCM of 8159 and 8166 is 66626394.
2. What are the Factors of 8159?
Answer: Factors of 8159 are 1, 41, 199, 8159. There are 4 integers that are factors of 8159. The greatest factor of 8159 is 8159.
3. What are the Factors of 8166?
Answer: Factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166. There are 8 integers that are factors of 8166. The greatest factor of 8166 is 8166.
4. How to Find the LCM of 8159 and 8166?
Answer:
Least Common Multiple of 8159 and 8166 = 66626394
Step 1: Find the prime factorization of 8159
8159 = 41 x 199
Step 2: Find the prime factorization of 8166
8166 = 2 x 3 x 1361
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66626394 = 2 x 3 x 41 x 199 x 1361
Step 4: Therefore, the least common multiple of 8159 and 8166 is 66626394.