Least Common Multiple of 3087 and 3095
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3087 and 3095 the smallest integer that is 9554265 that is divisible by both numbers.
Least Common Multiple (LCM) of 3087 and 3095 is 9554265.
LCM(3087,3095) = 9554265
LCM of 3087 and 3095
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3087 and 3095 by Prime method
- Least Common Multiple of 3087 and 3095 with GCF Formula
LCM of 3087 and 3095 is 9554265
Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3095. First we will calculate the prime factors of 3087 and 3095.
Prime Factorization of 3087
| 3 | 3087 |
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 3087 are 3,7. Prime factorization of 3087 in exponential form is:
3087 = 32×73
Prime Factorization of 3095
| 5 | 3095 |
| 619 | 619 |
| 1 |
Prime factors of 3095 are 5,619. Prime factorization of 3095 in exponential form is:
3095 = 51×6191
Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3095.
LCM(3087,3095) = 32×51×73×6191
LCM(3087,3095) = 9554265
Factors of 3087
List of positive integer factors of 3087 that divides 3087 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087
Factors of 3095
List of positive integer factors of 3095 that divides 3095 without a remainder.
1, 5, 619, 3095
Least Common Multiple of 3087 and 3095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3087 and 3095, than apply into the LCM equation.
GCF(3087,3095) = 1
LCM(3087,3095) = ( 3087 × 3095) / 1
LCM(3087,3095) = 9554265 / 1
LCM(3087,3095) = 9554265
Properties of LCM 3087 and 3095
(i) The LCM of 3095 and 3087 is associative
LCM of 3087 and 3095 = LCM of 3095 and 3087
Related Least Common Multiples of 3087
Related Least Common Multiples of 3095
Frequently Asked Questions on LCM of 3087 and 3095
1. What is the LCM of 3087 and 3095?
Answer: LCM of 3087 and 3095 is 9554265.
2. What are the Factors of 3087?
Answer: Factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. There are 12 integers that are factors of 3087. The greatest factor of 3087 is 3087.
3. What are the Factors of 3095?
Answer: Factors of 3095 are 1, 5, 619, 3095. There are 4 integers that are factors of 3095. The greatest factor of 3095 is 3095.
4. How to Find the LCM of 3087 and 3095?
Answer:
Least Common Multiple of 3087 and 3095 = 9554265
Step 1: Find the prime factorization of 3087
3087 = 3 x 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 3095
3095 = 5 x 619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9554265 = 3 x 3 x 5 x 7 x 7 x 7 x 619
Step 4: Therefore, the least common multiple of 3087 and 3095 is 9554265.