Least Common Multiple of 10143 and 10148
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 10148 the smallest integer that is 102931164 that is divisible by both numbers.
Least Common Multiple (LCM) of 10143 and 10148 is 102931164.
LCM(10143,10148) = 102931164
LCM of 10143 and 10148
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10143 and 10148 by Prime method
- Least Common Multiple of 10143 and 10148 with GCF Formula
LCM of 10143 and 10148 is 102931164
Least common multiple can be found by multiplying the highest exponent prime factors of 10143 and 10148. First we will calculate the prime factors of 10143 and 10148.
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 10148
| 2 | 10148 |
| 2 | 5074 |
| 43 | 2537 |
| 59 | 59 |
| 1 |
Prime factors of 10148 are 2, 43,59. Prime factorization of 10148 in exponential form is:
10148 = 22×431×591
Now multiplying the highest exponent prime factors to calculate the LCM of 10143 and 10148.
LCM(10143,10148) = 22×32×72×231×431×591
LCM(10143,10148) = 102931164
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 10148
List of positive integer factors of 10148 that divides 10148 without a remainder.
1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148
Least Common Multiple of 10143 and 10148 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 10148, than apply into the LCM equation.
GCF(10143,10148) = 1
LCM(10143,10148) = ( 10143 × 10148) / 1
LCM(10143,10148) = 102931164 / 1
LCM(10143,10148) = 102931164
Properties of LCM 10143 and 10148
(i) The LCM of 10148 and 10143 is associative
LCM of 10143 and 10148 = LCM of 10148 and 10143
Related Least Common Multiples of 10143
Related Least Common Multiples of 10148
Frequently Asked Questions on LCM of 10143 and 10148
1. What is the LCM of 10143 and 10148?
Answer: LCM of 10143 and 10148 is 102931164.
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 10148?
Answer: Factors of 10148 are 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148. There are 12 integers that are factors of 10148. The greatest factor of 10148 is 10148.
4. How to Find the LCM of 10143 and 10148?
Answer:
Least Common Multiple of 10143 and 10148 = 102931164
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 10148
10148 = 2 x 2 x 43 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102931164 = 2 x 2 x 3 x 3 x 7 x 7 x 23 x 43 x 59
Step 4: Therefore, the least common multiple of 10143 and 10148 is 102931164.