Least Common Multiple of 7285 and 7293
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7285 and 7293 the smallest integer that is 53129505 that is divisible by both numbers.
Least Common Multiple (LCM) of 7285 and 7293 is 53129505.
LCM(7285,7293) = 53129505
LCM of 7285 and 7293
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7285 and 7293 by Prime method
- Least Common Multiple of 7285 and 7293 with GCF Formula
LCM of 7285 and 7293 is 53129505
Least common multiple can be found by multiplying the highest exponent prime factors of 7285 and 7293. First we will calculate the prime factors of 7285 and 7293.
Prime Factorization of 7285
| 5 | 7285 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 7285 are 5, 31,47. Prime factorization of 7285 in exponential form is:
7285 = 51×311×471
Prime Factorization of 7293
| 3 | 7293 |
| 11 | 2431 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 7293 are 3, 11, 13,17. Prime factorization of 7293 in exponential form is:
7293 = 31×111×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 7285 and 7293.
LCM(7285,7293) = 31×51×111×131×171×311×471
LCM(7285,7293) = 53129505
Factors of 7285
List of positive integer factors of 7285 that divides 7285 without a remainder.
1, 5, 31, 47, 155, 235, 1457, 7285
Factors of 7293
List of positive integer factors of 7293 that divides 7293 without a remainder.
1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293
Least Common Multiple of 7285 and 7293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7285 and 7293, than apply into the LCM equation.
GCF(7285,7293) = 1
LCM(7285,7293) = ( 7285 × 7293) / 1
LCM(7285,7293) = 53129505 / 1
LCM(7285,7293) = 53129505
Properties of LCM 7285 and 7293
(i) The LCM of 7293 and 7285 is associative
LCM of 7285 and 7293 = LCM of 7293 and 7285
Related Least Common Multiples of 7285
Related Least Common Multiples of 7293
Frequently Asked Questions on LCM of 7285 and 7293
1. What is the LCM of 7285 and 7293?
Answer: LCM of 7285 and 7293 is 53129505.
2. What are the Factors of 7285?
Answer: Factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285. There are 8 integers that are factors of 7285. The greatest factor of 7285 is 7285.
3. What are the Factors of 7293?
Answer: Factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293. There are 16 integers that are factors of 7293. The greatest factor of 7293 is 7293.
4. How to Find the LCM of 7285 and 7293?
Answer:
Least Common Multiple of 7285 and 7293 = 53129505
Step 1: Find the prime factorization of 7285
7285 = 5 x 31 x 47
Step 2: Find the prime factorization of 7293
7293 = 3 x 11 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53129505 = 3 x 5 x 11 x 13 x 17 x 31 x 47
Step 4: Therefore, the least common multiple of 7285 and 7293 is 53129505.