Least Common Multiple of 7084 and 7091
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7084 and 7091 the smallest integer that is 7176092 that is divisible by both numbers.
Least Common Multiple (LCM) of 7084 and 7091 is 7176092.
LCM(7084,7091) = 7176092
LCM of 7084 and 7091
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7084 and 7091 by Prime method
- Least Common Multiple of 7084 and 7091 with GCF Formula
LCM of 7084 and 7091 is 7176092
Least common multiple can be found by multiplying the highest exponent prime factors of 7084 and 7091. First we will calculate the prime factors of 7084 and 7091.
Prime Factorization of 7084
| 2 | 7084 |
| 2 | 3542 |
| 7 | 1771 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:
7084 = 22×71×111×231
Prime Factorization of 7091
| 7 | 7091 |
| 1013 | 1013 |
| 1 |
Prime factors of 7091 are 7,1013. Prime factorization of 7091 in exponential form is:
7091 = 71×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 7084 and 7091.
LCM(7084,7091) = 22×71×111×231×10131
LCM(7084,7091) = 7176092
Factors of 7084
List of positive integer factors of 7084 that divides 7084 without a remainder.
1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
Factors of 7091
List of positive integer factors of 7091 that divides 7091 without a remainder.
1, 7, 1013, 7091
Least Common Multiple of 7084 and 7091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7084 and 7091, than apply into the LCM equation.
GCF(7084,7091) = 7
LCM(7084,7091) = ( 7084 × 7091) / 7
LCM(7084,7091) = 50232644 / 7
LCM(7084,7091) = 7176092
Properties of LCM 7084 and 7091
(i) The LCM of 7091 and 7084 is associative
LCM of 7084 and 7091 = LCM of 7091 and 7084
Related Least Common Multiples of 7084
Related Least Common Multiples of 7091
Frequently Asked Questions on LCM of 7084 and 7091
1. What is the LCM of 7084 and 7091?
Answer: LCM of 7084 and 7091 is 7176092.
2. What are the Factors of 7084?
Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.
3. What are the Factors of 7091?
Answer: Factors of 7091 are 1, 7, 1013, 7091. There are 4 integers that are factors of 7091. The greatest factor of 7091 is 7091.
4. How to Find the LCM of 7084 and 7091?
Answer:
Least Common Multiple of 7084 and 7091 = 7176092
Step 1: Find the prime factorization of 7084
7084 = 2 x 2 x 7 x 11 x 23
Step 2: Find the prime factorization of 7091
7091 = 7 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7176092 = 2 x 2 x 7 x 11 x 23 x 1013
Step 4: Therefore, the least common multiple of 7084 and 7091 is 7176092.