Least Common Multiple of 142 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 142 and 145 the smallest integer that is 20590 that is divisible by both numbers.
Least Common Multiple (LCM) of 142 and 145 is 20590.
LCM(142,145) = 20590
LCM of 142 and 145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 142 and 145 by Prime method
- Least Common Multiple of 142 and 145 with GCF Formula
LCM of 142 and 145 is 20590
Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 145. First we will calculate the prime factors of 142 and 145.
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 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 142 and 145.
LCM(142,145) = 21×51×291×711
LCM(142,145) = 20590
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Least Common Multiple of 142 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 142 and 145, than apply into the LCM equation.
GCF(142,145) = 1
LCM(142,145) = ( 142 × 145) / 1
LCM(142,145) = 20590 / 1
LCM(142,145) = 20590
Properties of LCM 142 and 145
(i) The LCM of 145 and 142 is associative
LCM of 142 and 145 = LCM of 145 and 142
Related Least Common Multiples of 142
Related Least Common Multiples of 145
Frequently Asked Questions on LCM of 142 and 145
1. What is the LCM of 142 and 145?
Answer: LCM of 142 and 145 is 20590.
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 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 142 and 145?
Answer:
Least Common Multiple of 142 and 145 = 20590
Step 1: Find the prime factorization of 142
142 = 2 x 71
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 = 20590 = 2 x 5 x 29 x 71
Step 4: Therefore, the least common multiple of 142 and 145 is 20590.