Least Common Multiple of 7041 and 7049
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7041 and 7049 the smallest integer that is 49632009 that is divisible by both numbers.
Least Common Multiple (LCM) of 7041 and 7049 is 49632009.
LCM(7041,7049) = 49632009
LCM of 7041 and 7049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7041 and 7049 by Prime method
- Least Common Multiple of 7041 and 7049 with GCF Formula
LCM of 7041 and 7049 is 49632009
Least common multiple can be found by multiplying the highest exponent prime factors of 7041 and 7049. First we will calculate the prime factors of 7041 and 7049.
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
Prime Factorization of 7049
| 7 | 7049 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 7049 are 7, 19,53. Prime factorization of 7049 in exponential form is:
7049 = 71×191×531
Now multiplying the highest exponent prime factors to calculate the LCM of 7041 and 7049.
LCM(7041,7049) = 31×71×191×531×23471
LCM(7041,7049) = 49632009
Factors of 7041
List of positive integer factors of 7041 that divides 7041 without a remainder.
1, 3, 2347, 7041
Factors of 7049
List of positive integer factors of 7049 that divides 7049 without a remainder.
1, 7, 19, 53, 133, 371, 1007, 7049
Least Common Multiple of 7041 and 7049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7041 and 7049, than apply into the LCM equation.
GCF(7041,7049) = 1
LCM(7041,7049) = ( 7041 × 7049) / 1
LCM(7041,7049) = 49632009 / 1
LCM(7041,7049) = 49632009
Properties of LCM 7041 and 7049
(i) The LCM of 7049 and 7041 is associative
LCM of 7041 and 7049 = LCM of 7049 and 7041
Related Least Common Multiples of 7041
Related Least Common Multiples of 7049
Frequently Asked Questions on LCM of 7041 and 7049
1. What is the LCM of 7041 and 7049?
Answer: LCM of 7041 and 7049 is 49632009.
2. 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.
3. What are the Factors of 7049?
Answer: Factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049. There are 8 integers that are factors of 7049. The greatest factor of 7049 is 7049.
4. How to Find the LCM of 7041 and 7049?
Answer:
Least Common Multiple of 7041 and 7049 = 49632009
Step 1: Find the prime factorization of 7041
7041 = 3 x 2347
Step 2: Find the prime factorization of 7049
7049 = 7 x 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49632009 = 3 x 7 x 19 x 53 x 2347
Step 4: Therefore, the least common multiple of 7041 and 7049 is 49632009.