Least Common Multiple of 141 and 143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 141 and 143 the smallest integer that is 20163 that is divisible by both numbers.
Least Common Multiple (LCM) of 141 and 143 is 20163.
LCM(141,143) = 20163
LCM of 141 and 143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 141 and 143 by Prime method
- Least Common Multiple of 141 and 143 with GCF Formula
LCM of 141 and 143 is 20163
Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 143. First we will calculate the prime factors of 141 and 143.
Prime Factorization of 141
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:
141 = 31×471
Prime Factorization of 143
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:
143 = 111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 141 and 143.
LCM(141,143) = 31×111×131×471
LCM(141,143) = 20163
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Least Common Multiple of 141 and 143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 141 and 143, than apply into the LCM equation.
GCF(141,143) = 1
LCM(141,143) = ( 141 × 143) / 1
LCM(141,143) = 20163 / 1
LCM(141,143) = 20163
Properties of LCM 141 and 143
(i) The LCM of 143 and 141 is associative
LCM of 141 and 143 = LCM of 143 and 141
Related Least Common Multiples of 141
Related Least Common Multiples of 143
Frequently Asked Questions on LCM of 141 and 143
1. What is the LCM of 141 and 143?
Answer: LCM of 141 and 143 is 20163.
2. What are the Factors of 141?
Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.
3. What are the Factors of 143?
Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.
4. How to Find the LCM of 141 and 143?
Answer:
Least Common Multiple of 141 and 143 = 20163
Step 1: Find the prime factorization of 141
141 = 3 x 47
Step 2: Find the prime factorization of 143
143 = 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20163 = 3 x 11 x 13 x 47
Step 4: Therefore, the least common multiple of 141 and 143 is 20163.
