Least Common Multiple of 7037 and 7041
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7037 and 7041 the smallest integer that is 49547517 that is divisible by both numbers.
Least Common Multiple (LCM) of 7037 and 7041 is 49547517.
LCM(7037,7041) = 49547517
LCM of 7037 and 7041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7037 and 7041 by Prime method
- Least Common Multiple of 7037 and 7041 with GCF Formula
LCM of 7037 and 7041 is 49547517
Least common multiple can be found by multiplying the highest exponent prime factors of 7037 and 7041. First we will calculate the prime factors of 7037 and 7041.
Prime Factorization of 7037
| 31 | 7037 |
| 227 | 227 |
| 1 |
Prime factors of 7037 are 31,227. Prime factorization of 7037 in exponential form is:
7037 = 311×2271
Prime Factorization of 7041
| 3 | 7041 |
| 2347 | 2347 |
| 1 |
Prime factors of 7041 are 3,2347. Prime factorization of 7041 in exponential form is:
7041 = 31×23471
Now multiplying the highest exponent prime factors to calculate the LCM of 7037 and 7041.
LCM(7037,7041) = 31×311×2271×23471
LCM(7037,7041) = 49547517
Factors of 7037
List of positive integer factors of 7037 that divides 7037 without a remainder.
1, 31, 227, 7037
Factors of 7041
List of positive integer factors of 7041 that divides 7041 without a remainder.
1, 3, 2347, 7041
Least Common Multiple of 7037 and 7041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7037 and 7041, than apply into the LCM equation.
GCF(7037,7041) = 1
LCM(7037,7041) = ( 7037 × 7041) / 1
LCM(7037,7041) = 49547517 / 1
LCM(7037,7041) = 49547517
Properties of LCM 7037 and 7041
(i) The LCM of 7041 and 7037 is associative
LCM of 7037 and 7041 = LCM of 7041 and 7037
Related Least Common Multiples of 7037
Related Least Common Multiples of 7041
Frequently Asked Questions on LCM of 7037 and 7041
1. What is the LCM of 7037 and 7041?
Answer: LCM of 7037 and 7041 is 49547517.
2. What are the Factors of 7037?
Answer: Factors of 7037 are 1, 31, 227, 7037. There are 4 integers that are factors of 7037. The greatest factor of 7037 is 7037.
3. What are the Factors of 7041?
Answer: Factors of 7041 are 1, 3, 2347, 7041. There are 4 integers that are factors of 7041. The greatest factor of 7041 is 7041.
4. How to Find the LCM of 7037 and 7041?
Answer:
Least Common Multiple of 7037 and 7041 = 49547517
Step 1: Find the prime factorization of 7037
7037 = 31 x 227
Step 2: Find the prime factorization of 7041
7041 = 3 x 2347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49547517 = 3 x 31 x 227 x 2347
Step 4: Therefore, the least common multiple of 7037 and 7041 is 49547517.