Least Common Multiple of 10143 and 10150
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10143 and 10150 the smallest integer that is 14707350 that is divisible by both numbers.
Least Common Multiple (LCM) of 10143 and 10150 is 14707350.
LCM(10143,10150) = 14707350
LCM of 10143 and 10150
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10143 and 10150 by Prime method
- Least Common Multiple of 10143 and 10150 with GCF Formula
LCM of 10143 and 10150 is 14707350
Least common multiple can be found by multiplying the highest exponent prime factors of 10143 and 10150. First we will calculate the prime factors of 10143 and 10150.
Prime Factorization of 10143
| 3 | 10143 |
| 3 | 3381 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:
10143 = 32×72×231
Prime Factorization of 10150
| 2 | 10150 |
| 5 | 5075 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 10150 are 2, 5, 7,29. Prime factorization of 10150 in exponential form is:
10150 = 21×52×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 10143 and 10150.
LCM(10143,10150) = 21×32×52×72×231×291
LCM(10143,10150) = 14707350
Factors of 10143
List of positive integer factors of 10143 that divides 10143 without a remainder.
1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143
Factors of 10150
List of positive integer factors of 10150 that divides 10150 without a remainder.
1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150
Least Common Multiple of 10143 and 10150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10143 and 10150, than apply into the LCM equation.
GCF(10143,10150) = 7
LCM(10143,10150) = ( 10143 × 10150) / 7
LCM(10143,10150) = 102951450 / 7
LCM(10143,10150) = 14707350
Properties of LCM 10143 and 10150
(i) The LCM of 10150 and 10143 is associative
LCM of 10143 and 10150 = LCM of 10150 and 10143
Related Least Common Multiples of 10143
Related Least Common Multiples of 10150
Frequently Asked Questions on LCM of 10143 and 10150
1. What is the LCM of 10143 and 10150?
Answer: LCM of 10143 and 10150 is 14707350.
2. What are the Factors of 10143?
Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.
3. What are the Factors of 10150?
Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.
4. How to Find the LCM of 10143 and 10150?
Answer:
Least Common Multiple of 10143 and 10150 = 14707350
Step 1: Find the prime factorization of 10143
10143 = 3 x 3 x 7 x 7 x 23
Step 2: Find the prime factorization of 10150
10150 = 2 x 5 x 5 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14707350 = 2 x 3 x 3 x 5 x 5 x 7 x 7 x 23 x 29
Step 4: Therefore, the least common multiple of 10143 and 10150 is 14707350.