Least Common Multiple of 7044 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 7044 and 7049 the smallest integer that is 49653156 that is divisible by both numbers.
Least Common Multiple (LCM) of 7044 and 7049 is 49653156.
LCM(7044,7049) = 49653156
LCM of 7044 and 7049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7044 and 7049 by Prime method
- Least Common Multiple of 7044 and 7049 with GCF Formula
LCM of 7044 and 7049 is 49653156
Least common multiple can be found by multiplying the highest exponent prime factors of 7044 and 7049. First we will calculate the prime factors of 7044 and 7049.
Prime Factorization of 7044
| 2 | 7044 |
| 2 | 3522 |
| 3 | 1761 |
| 587 | 587 |
| 1 |
Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:
7044 = 22×31×5871
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 7044 and 7049.
LCM(7044,7049) = 22×31×71×191×531×5871
LCM(7044,7049) = 49653156
Factors of 7044
List of positive integer factors of 7044 that divides 7044 without a remainder.
1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044
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 7044 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 7044 and 7049, than apply into the LCM equation.
GCF(7044,7049) = 1
LCM(7044,7049) = ( 7044 × 7049) / 1
LCM(7044,7049) = 49653156 / 1
LCM(7044,7049) = 49653156
Properties of LCM 7044 and 7049
(i) The LCM of 7049 and 7044 is associative
LCM of 7044 and 7049 = LCM of 7049 and 7044
Related Least Common Multiples of 7044
Related Least Common Multiples of 7049
Frequently Asked Questions on LCM of 7044 and 7049
1. What is the LCM of 7044 and 7049?
Answer: LCM of 7044 and 7049 is 49653156.
2. What are the Factors of 7044?
Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.
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 7044 and 7049?
Answer:
Least Common Multiple of 7044 and 7049 = 49653156
Step 1: Find the prime factorization of 7044
7044 = 2 x 2 x 3 x 587
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 = 49653156 = 2 x 2 x 3 x 7 x 19 x 53 x 587
Step 4: Therefore, the least common multiple of 7044 and 7049 is 49653156.