Least Common Multiple of 141 and 142
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 142 the smallest integer that is 20022 that is divisible by both numbers.
Least Common Multiple (LCM) of 141 and 142 is 20022.
LCM(141,142) = 20022
LCM of 141 and 142
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 141 and 142 by Prime method
- Least Common Multiple of 141 and 142 with GCF Formula
LCM of 141 and 142 is 20022
Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 142. First we will calculate the prime factors of 141 and 142.
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 142
| 2 | 142 |
| 71 | 71 |
| 1 |
Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:
142 = 21×711
Now multiplying the highest exponent prime factors to calculate the LCM of 141 and 142.
LCM(141,142) = 21×31×471×711
LCM(141,142) = 20022
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Least Common Multiple of 141 and 142 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 142, than apply into the LCM equation.
GCF(141,142) = 1
LCM(141,142) = ( 141 × 142) / 1
LCM(141,142) = 20022 / 1
LCM(141,142) = 20022
Properties of LCM 141 and 142
(i) The LCM of 142 and 141 is associative
LCM of 141 and 142 = LCM of 142 and 141
Related Least Common Multiples of 141
Related Least Common Multiples of 142
Frequently Asked Questions on LCM of 141 and 142
1. What is the LCM of 141 and 142?
Answer: LCM of 141 and 142 is 20022.
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 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.
4. How to Find the LCM of 141 and 142?
Answer:
Least Common Multiple of 141 and 142 = 20022
Step 1: Find the prime factorization of 141
141 = 3 x 47
Step 2: Find the prime factorization of 142
142 = 2 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20022 = 2 x 3 x 47 x 71
Step 4: Therefore, the least common multiple of 141 and 142 is 20022.