Least Common Multiple of 7145 and 7150
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7145 and 7150 the smallest integer that is 10217350 that is divisible by both numbers.
Least Common Multiple (LCM) of 7145 and 7150 is 10217350.
LCM(7145,7150) = 10217350
LCM of 7145 and 7150
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7145 and 7150 by Prime method
- Least Common Multiple of 7145 and 7150 with GCF Formula
LCM of 7145 and 7150 is 10217350
Least common multiple can be found by multiplying the highest exponent prime factors of 7145 and 7150. First we will calculate the prime factors of 7145 and 7150.
Prime Factorization of 7145
| 5 | 7145 |
| 1429 | 1429 |
| 1 |
Prime factors of 7145 are 5,1429. Prime factorization of 7145 in exponential form is:
7145 = 51×14291
Prime Factorization of 7150
| 2 | 7150 |
| 5 | 3575 |
| 5 | 715 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 7150 are 2, 5, 11,13. Prime factorization of 7150 in exponential form is:
7150 = 21×52×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7145 and 7150.
LCM(7145,7150) = 21×52×111×131×14291
LCM(7145,7150) = 10217350
Factors of 7145
List of positive integer factors of 7145 that divides 7145 without a remainder.
1, 5, 1429, 7145
Factors of 7150
List of positive integer factors of 7150 that divides 7150 without a remainder.
1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
Least Common Multiple of 7145 and 7150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7145 and 7150, than apply into the LCM equation.
GCF(7145,7150) = 5
LCM(7145,7150) = ( 7145 × 7150) / 5
LCM(7145,7150) = 51086750 / 5
LCM(7145,7150) = 10217350
Properties of LCM 7145 and 7150
(i) The LCM of 7150 and 7145 is associative
LCM of 7145 and 7150 = LCM of 7150 and 7145
Related Least Common Multiples of 7145
Related Least Common Multiples of 7150
Frequently Asked Questions on LCM of 7145 and 7150
1. What is the LCM of 7145 and 7150?
Answer: LCM of 7145 and 7150 is 10217350.
2. What are the Factors of 7145?
Answer: Factors of 7145 are 1, 5, 1429, 7145. There are 4 integers that are factors of 7145. The greatest factor of 7145 is 7145.
3. What are the Factors of 7150?
Answer: Factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150. There are 24 integers that are factors of 7150. The greatest factor of 7150 is 7150.
4. How to Find the LCM of 7145 and 7150?
Answer:
Least Common Multiple of 7145 and 7150 = 10217350
Step 1: Find the prime factorization of 7145
7145 = 5 x 1429
Step 2: Find the prime factorization of 7150
7150 = 2 x 5 x 5 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10217350 = 2 x 5 x 5 x 11 x 13 x 1429
Step 4: Therefore, the least common multiple of 7145 and 7150 is 10217350.