Least Common Multiple of 8143 and 8150
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8143 and 8150 the smallest integer that is 66365450 that is divisible by both numbers.
Least Common Multiple (LCM) of 8143 and 8150 is 66365450.
LCM(8143,8150) = 66365450
LCM of 8143 and 8150
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8143 and 8150 by Prime method
- Least Common Multiple of 8143 and 8150 with GCF Formula
LCM of 8143 and 8150 is 66365450
Least common multiple can be found by multiplying the highest exponent prime factors of 8143 and 8150. First we will calculate the prime factors of 8143 and 8150.
Prime Factorization of 8143
| 17 | 8143 |
| 479 | 479 |
| 1 |
Prime factors of 8143 are 17,479. Prime factorization of 8143 in exponential form is:
8143 = 171×4791
Prime Factorization of 8150
| 2 | 8150 |
| 5 | 4075 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 8150 are 2, 5,163. Prime factorization of 8150 in exponential form is:
8150 = 21×52×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 8143 and 8150.
LCM(8143,8150) = 21×52×171×1631×4791
LCM(8143,8150) = 66365450
Factors of 8143
List of positive integer factors of 8143 that divides 8143 without a remainder.
1, 17, 479, 8143
Factors of 8150
List of positive integer factors of 8150 that divides 8150 without a remainder.
1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150
Least Common Multiple of 8143 and 8150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8143 and 8150, than apply into the LCM equation.
GCF(8143,8150) = 1
LCM(8143,8150) = ( 8143 × 8150) / 1
LCM(8143,8150) = 66365450 / 1
LCM(8143,8150) = 66365450
Properties of LCM 8143 and 8150
(i) The LCM of 8150 and 8143 is associative
LCM of 8143 and 8150 = LCM of 8150 and 8143
Related Least Common Multiples of 8143
Related Least Common Multiples of 8150
Frequently Asked Questions on LCM of 8143 and 8150
1. What is the LCM of 8143 and 8150?
Answer: LCM of 8143 and 8150 is 66365450.
2. What are the Factors of 8143?
Answer: Factors of 8143 are 1, 17, 479, 8143. There are 4 integers that are factors of 8143. The greatest factor of 8143 is 8143.
3. What are the Factors of 8150?
Answer: Factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150. There are 12 integers that are factors of 8150. The greatest factor of 8150 is 8150.
4. How to Find the LCM of 8143 and 8150?
Answer:
Least Common Multiple of 8143 and 8150 = 66365450
Step 1: Find the prime factorization of 8143
8143 = 17 x 479
Step 2: Find the prime factorization of 8150
8150 = 2 x 5 x 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66365450 = 2 x 5 x 5 x 17 x 163 x 479
Step 4: Therefore, the least common multiple of 8143 and 8150 is 66365450.