Least Common Multiple of 3087 and 3093
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 3093 the smallest integer that is 3182697 that is divisible by both numbers.
Least Common Multiple (LCM) of 3087 and 3093 is 3182697.
LCM(3087,3093) = 3182697
LCM of 3087 and 3093
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3087 and 3093 by Prime method
- Least Common Multiple of 3087 and 3093 with GCF Formula
LCM of 3087 and 3093 is 3182697
Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3093. First we will calculate the prime factors of 3087 and 3093.
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 3093
| 3 | 3093 |
| 1031 | 1031 |
| 1 |
Prime factors of 3093 are 3,1031. Prime factorization of 3093 in exponential form is:
3093 = 31×10311
Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3093.
LCM(3087,3093) = 32×73×10311
LCM(3087,3093) = 3182697
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 3093
List of positive integer factors of 3093 that divides 3093 without a remainder.
1, 3, 1031, 3093
Least Common Multiple of 3087 and 3093 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 3093, than apply into the LCM equation.
GCF(3087,3093) = 3
LCM(3087,3093) = ( 3087 × 3093) / 3
LCM(3087,3093) = 9548091 / 3
LCM(3087,3093) = 3182697
Properties of LCM 3087 and 3093
(i) The LCM of 3093 and 3087 is associative
LCM of 3087 and 3093 = LCM of 3093 and 3087
Related Least Common Multiples of 3087
Related Least Common Multiples of 3093
Frequently Asked Questions on LCM of 3087 and 3093
1. What is the LCM of 3087 and 3093?
Answer: LCM of 3087 and 3093 is 3182697.
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 3093?
Answer: Factors of 3093 are 1, 3, 1031, 3093. There are 4 integers that are factors of 3093. The greatest factor of 3093 is 3093.
4. How to Find the LCM of 3087 and 3093?
Answer:
Least Common Multiple of 3087 and 3093 = 3182697
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 3093
3093 = 3 x 1031
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3182697 = 3 x 3 x 7 x 7 x 7 x 1031
Step 4: Therefore, the least common multiple of 3087 and 3093 is 3182697.