Least Common Multiple of 7087 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 7087 and 7091 the smallest integer that is 50253917 that is divisible by both numbers.
Least Common Multiple (LCM) of 7087 and 7091 is 50253917.
LCM(7087,7091) = 50253917
LCM of 7087 and 7091
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7087 and 7091 by Prime method
- Least Common Multiple of 7087 and 7091 with GCF Formula
LCM of 7087 and 7091 is 50253917
Least common multiple can be found by multiplying the highest exponent prime factors of 7087 and 7091. First we will calculate the prime factors of 7087 and 7091.
Prime Factorization of 7087
| 19 | 7087 |
| 373 | 373 |
| 1 |
Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:
7087 = 191×3731
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 7087 and 7091.
LCM(7087,7091) = 71×191×3731×10131
LCM(7087,7091) = 50253917
Factors of 7087
List of positive integer factors of 7087 that divides 7087 without a remainder.
1, 19, 373, 7087
Factors of 7091
List of positive integer factors of 7091 that divides 7091 without a remainder.
1, 7, 1013, 7091
Least Common Multiple of 7087 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 7087 and 7091, than apply into the LCM equation.
GCF(7087,7091) = 1
LCM(7087,7091) = ( 7087 × 7091) / 1
LCM(7087,7091) = 50253917 / 1
LCM(7087,7091) = 50253917
Properties of LCM 7087 and 7091
(i) The LCM of 7091 and 7087 is associative
LCM of 7087 and 7091 = LCM of 7091 and 7087
Related Least Common Multiples of 7087
Related Least Common Multiples of 7091
Frequently Asked Questions on LCM of 7087 and 7091
1. What is the LCM of 7087 and 7091?
Answer: LCM of 7087 and 7091 is 50253917.
2. What are the Factors of 7087?
Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.
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 7087 and 7091?
Answer:
Least Common Multiple of 7087 and 7091 = 50253917
Step 1: Find the prime factorization of 7087
7087 = 19 x 373
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 = 50253917 = 7 x 19 x 373 x 1013
Step 4: Therefore, the least common multiple of 7087 and 7091 is 50253917.