Least Common Multiple of 142 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 142 and 143 the smallest integer that is 20306 that is divisible by both numbers.
Least Common Multiple (LCM) of 142 and 143 is 20306.
LCM(142,143) = 20306
LCM of 142 and 143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 142 and 143 by Prime method
- Least Common Multiple of 142 and 143 with GCF Formula
LCM of 142 and 143 is 20306
Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 143. First we will calculate the prime factors of 142 and 143.
Prime Factorization of 142
| 2 | 142 |
| 71 | 71 |
| 1 |
Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:
142 = 21×711
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 142 and 143.
LCM(142,143) = 21×111×131×711
LCM(142,143) = 20306
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Least Common Multiple of 142 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 142 and 143, than apply into the LCM equation.
GCF(142,143) = 1
LCM(142,143) = ( 142 × 143) / 1
LCM(142,143) = 20306 / 1
LCM(142,143) = 20306
Properties of LCM 142 and 143
(i) The LCM of 143 and 142 is associative
LCM of 142 and 143 = LCM of 143 and 142
Related Least Common Multiples of 142
Related Least Common Multiples of 143
Frequently Asked Questions on LCM of 142 and 143
1. What is the LCM of 142 and 143?
Answer: LCM of 142 and 143 is 20306.
2. What are the Factors of 142?
Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.
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 142 and 143?
Answer:
Least Common Multiple of 142 and 143 = 20306
Step 1: Find the prime factorization of 142
142 = 2 x 71
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 = 20306 = 2 x 11 x 13 x 71
Step 4: Therefore, the least common multiple of 142 and 143 is 20306.
