Least Common Multiple of 7049 and 7055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7049 and 7055 the smallest integer that is 49730695 that is divisible by both numbers.
Least Common Multiple (LCM) of 7049 and 7055 is 49730695.
LCM(7049,7055) = 49730695
LCM of 7049 and 7055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7049 and 7055 by Prime method
- Least Common Multiple of 7049 and 7055 with GCF Formula
LCM of 7049 and 7055 is 49730695
Least common multiple can be found by multiplying the highest exponent prime factors of 7049 and 7055. First we will calculate the prime factors of 7049 and 7055.
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
Prime Factorization of 7055
| 5 | 7055 |
| 17 | 1411 |
| 83 | 83 |
| 1 |
Prime factors of 7055 are 5, 17,83. Prime factorization of 7055 in exponential form is:
7055 = 51×171×831
Now multiplying the highest exponent prime factors to calculate the LCM of 7049 and 7055.
LCM(7049,7055) = 51×71×171×191×531×831
LCM(7049,7055) = 49730695
Factors of 7049
List of positive integer factors of 7049 that divides 7049 without a remainder.
1, 7, 19, 53, 133, 371, 1007, 7049
Factors of 7055
List of positive integer factors of 7055 that divides 7055 without a remainder.
1, 5, 17, 83, 85, 415, 1411, 7055
Least Common Multiple of 7049 and 7055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7049 and 7055, than apply into the LCM equation.
GCF(7049,7055) = 1
LCM(7049,7055) = ( 7049 × 7055) / 1
LCM(7049,7055) = 49730695 / 1
LCM(7049,7055) = 49730695
Properties of LCM 7049 and 7055
(i) The LCM of 7055 and 7049 is associative
LCM of 7049 and 7055 = LCM of 7055 and 7049
Related Least Common Multiples of 7049
Related Least Common Multiples of 7055
Frequently Asked Questions on LCM of 7049 and 7055
1. What is the LCM of 7049 and 7055?
Answer: LCM of 7049 and 7055 is 49730695.
2. 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.
3. What are the Factors of 7055?
Answer: Factors of 7055 are 1, 5, 17, 83, 85, 415, 1411, 7055. There are 8 integers that are factors of 7055. The greatest factor of 7055 is 7055.
4. How to Find the LCM of 7049 and 7055?
Answer:
Least Common Multiple of 7049 and 7055 = 49730695
Step 1: Find the prime factorization of 7049
7049 = 7 x 19 x 53
Step 2: Find the prime factorization of 7055
7055 = 5 x 17 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49730695 = 5 x 7 x 17 x 19 x 53 x 83
Step 4: Therefore, the least common multiple of 7049 and 7055 is 49730695.