Least Common Multiple of 141 and 145
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 145 the smallest integer that is 20445 that is divisible by both numbers.
Least Common Multiple (LCM) of 141 and 145 is 20445.
LCM(141,145) = 20445
LCM of 141 and 145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 141 and 145 by Prime method
- Least Common Multiple of 141 and 145 with GCF Formula
LCM of 141 and 145 is 20445
Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 145. First we will calculate the prime factors of 141 and 145.
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 145
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:
145 = 51×291
Now multiplying the highest exponent prime factors to calculate the LCM of 141 and 145.
LCM(141,145) = 31×51×291×471
LCM(141,145) = 20445
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Least Common Multiple of 141 and 145 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 145, than apply into the LCM equation.
GCF(141,145) = 1
LCM(141,145) = ( 141 × 145) / 1
LCM(141,145) = 20445 / 1
LCM(141,145) = 20445
Properties of LCM 141 and 145
(i) The LCM of 145 and 141 is associative
LCM of 141 and 145 = LCM of 145 and 141
Related Least Common Multiples of 141
Related Least Common Multiples of 145
Frequently Asked Questions on LCM of 141 and 145
1. What is the LCM of 141 and 145?
Answer: LCM of 141 and 145 is 20445.
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 145?
Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.
4. How to Find the LCM of 141 and 145?
Answer:
Least Common Multiple of 141 and 145 = 20445
Step 1: Find the prime factorization of 141
141 = 3 x 47
Step 2: Find the prime factorization of 145
145 = 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20445 = 3 x 5 x 29 x 47
Step 4: Therefore, the least common multiple of 141 and 145 is 20445.
