Least Common Multiple of 7087 and 7095
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 7095 the smallest integer that is 50282265 that is divisible by both numbers.
Least Common Multiple (LCM) of 7087 and 7095 is 50282265.
LCM(7087,7095) = 50282265
LCM of 7087 and 7095
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7087 and 7095 by Prime method
- Least Common Multiple of 7087 and 7095 with GCF Formula
LCM of 7087 and 7095 is 50282265
Least common multiple can be found by multiplying the highest exponent prime factors of 7087 and 7095. First we will calculate the prime factors of 7087 and 7095.
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 7095
| 3 | 7095 |
| 5 | 2365 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:
7095 = 31×51×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 7087 and 7095.
LCM(7087,7095) = 31×51×111×191×431×3731
LCM(7087,7095) = 50282265
Factors of 7087
List of positive integer factors of 7087 that divides 7087 without a remainder.
1, 19, 373, 7087
Factors of 7095
List of positive integer factors of 7095 that divides 7095 without a remainder.
1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
Least Common Multiple of 7087 and 7095 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 7095, than apply into the LCM equation.
GCF(7087,7095) = 1
LCM(7087,7095) = ( 7087 × 7095) / 1
LCM(7087,7095) = 50282265 / 1
LCM(7087,7095) = 50282265
Properties of LCM 7087 and 7095
(i) The LCM of 7095 and 7087 is associative
LCM of 7087 and 7095 = LCM of 7095 and 7087
Related Least Common Multiples of 7087
Related Least Common Multiples of 7095
Frequently Asked Questions on LCM of 7087 and 7095
1. What is the LCM of 7087 and 7095?
Answer: LCM of 7087 and 7095 is 50282265.
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 7095?
Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.
4. How to Find the LCM of 7087 and 7095?
Answer:
Least Common Multiple of 7087 and 7095 = 50282265
Step 1: Find the prime factorization of 7087
7087 = 19 x 373
Step 2: Find the prime factorization of 7095
7095 = 3 x 5 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50282265 = 3 x 5 x 11 x 19 x 43 x 373
Step 4: Therefore, the least common multiple of 7087 and 7095 is 50282265.