Least Common Multiple of 140 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 140 and 145 the smallest integer that is 4060 that is divisible by both numbers.
Least Common Multiple (LCM) of 140 and 145 is 4060.
LCM(140,145) = 4060
LCM of 140 and 145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 140 and 145 by Prime method
- Least Common Multiple of 140 and 145 with GCF Formula
LCM of 140 and 145 is 4060
Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 145. First we will calculate the prime factors of 140 and 145.
Prime Factorization of 140
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 140 are 2, 5,7. Prime factorization of 140 in exponential form is:
140 = 22×51×71
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 140 and 145.
LCM(140,145) = 22×51×71×291
LCM(140,145) = 4060
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Least Common Multiple of 140 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 140 and 145, than apply into the LCM equation.
GCF(140,145) = 5
LCM(140,145) = ( 140 × 145) / 5
LCM(140,145) = 20300 / 5
LCM(140,145) = 4060
Properties of LCM 140 and 145
(i) The LCM of 145 and 140 is associative
LCM of 140 and 145 = LCM of 145 and 140
Related Least Common Multiples of 140
Related Least Common Multiples of 145
Frequently Asked Questions on LCM of 140 and 145
1. What is the LCM of 140 and 145?
Answer: LCM of 140 and 145 is 4060.
2. What are the Factors of 140?
Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.
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 140 and 145?
Answer:
Least Common Multiple of 140 and 145 = 4060
Step 1: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
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 = 4060 = 2 x 2 x 5 x 7 x 29
Step 4: Therefore, the least common multiple of 140 and 145 is 4060.
