Least Common Multiple of 8151 and 8159
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8151 and 8159 the smallest integer that is 66504009 that is divisible by both numbers.
Least Common Multiple (LCM) of 8151 and 8159 is 66504009.
LCM(8151,8159) = 66504009
LCM of 8151 and 8159
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8151 and 8159 by Prime method
- Least Common Multiple of 8151 and 8159 with GCF Formula
LCM of 8151 and 8159 is 66504009
Least common multiple can be found by multiplying the highest exponent prime factors of 8151 and 8159. First we will calculate the prime factors of 8151 and 8159.
Prime Factorization of 8151
| 3 | 8151 |
| 11 | 2717 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 8151 are 3, 11, 13,19. Prime factorization of 8151 in exponential form is:
8151 = 31×111×131×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8151 and 8159.
LCM(8151,8159) = 31×111×131×191×411×1991
LCM(8151,8159) = 66504009
Factors of 8151
List of positive integer factors of 8151 that divides 8151 without a remainder.
1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151
Factors of 8159
List of positive integer factors of 8159 that divides 8159 without a remainder.
1, 41, 199, 8159
Least Common Multiple of 8151 and 8159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8151 and 8159, than apply into the LCM equation.
GCF(8151,8159) = 1
LCM(8151,8159) = ( 8151 × 8159) / 1
LCM(8151,8159) = 66504009 / 1
LCM(8151,8159) = 66504009
Properties of LCM 8151 and 8159
(i) The LCM of 8159 and 8151 is associative
LCM of 8151 and 8159 = LCM of 8159 and 8151
Related Least Common Multiples of 8151
Related Least Common Multiples of 8159
Frequently Asked Questions on LCM of 8151 and 8159
1. What is the LCM of 8151 and 8159?
Answer: LCM of 8151 and 8159 is 66504009.
2. What are the Factors of 8151?
Answer: Factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151. There are 16 integers that are factors of 8151. The greatest factor of 8151 is 8151.
3. 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.
4. How to Find the LCM of 8151 and 8159?
Answer:
Least Common Multiple of 8151 and 8159 = 66504009
Step 1: Find the prime factorization of 8151
8151 = 3 x 11 x 13 x 19
Step 2: Find the prime factorization of 8159
8159 = 41 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66504009 = 3 x 11 x 13 x 19 x 41 x 199
Step 4: Therefore, the least common multiple of 8151 and 8159 is 66504009.