Least Common Multiple of 141 and 146
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 146 the smallest integer that is 20586 that is divisible by both numbers.
Least Common Multiple (LCM) of 141 and 146 is 20586.
LCM(141,146) = 20586
LCM of 141 and 146
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 141 and 146 by Prime method
- Least Common Multiple of 141 and 146 with GCF Formula
LCM of 141 and 146 is 20586
Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 146. First we will calculate the prime factors of 141 and 146.
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 146
| 2 | 146 |
| 73 | 73 |
| 1 |
Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:
146 = 21×731
Now multiplying the highest exponent prime factors to calculate the LCM of 141 and 146.
LCM(141,146) = 21×31×471×731
LCM(141,146) = 20586
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Least Common Multiple of 141 and 146 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 146, than apply into the LCM equation.
GCF(141,146) = 1
LCM(141,146) = ( 141 × 146) / 1
LCM(141,146) = 20586 / 1
LCM(141,146) = 20586
Properties of LCM 141 and 146
(i) The LCM of 146 and 141 is associative
LCM of 141 and 146 = LCM of 146 and 141
Related Least Common Multiples of 141
Related Least Common Multiples of 146
Frequently Asked Questions on LCM of 141 and 146
1. What is the LCM of 141 and 146?
Answer: LCM of 141 and 146 is 20586.
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 146?
Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.
4. How to Find the LCM of 141 and 146?
Answer:
Least Common Multiple of 141 and 146 = 20586
Step 1: Find the prime factorization of 141
141 = 3 x 47
Step 2: Find the prime factorization of 146
146 = 2 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20586 = 2 x 3 x 47 x 73
Step 4: Therefore, the least common multiple of 141 and 146 is 20586.
