Least Common Multiple of 3087 and 3094
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 3094 the smallest integer that is 1364454 that is divisible by both numbers.
Least Common Multiple (LCM) of 3087 and 3094 is 1364454.
LCM(3087,3094) = 1364454
LCM of 3087 and 3094
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3087 and 3094 by Prime method
- Least Common Multiple of 3087 and 3094 with GCF Formula
LCM of 3087 and 3094 is 1364454
Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3094. First we will calculate the prime factors of 3087 and 3094.
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 3094
| 2 | 3094 |
| 7 | 1547 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 3094 are 2, 7, 13,17. Prime factorization of 3094 in exponential form is:
3094 = 21×71×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3094.
LCM(3087,3094) = 21×32×73×131×171
LCM(3087,3094) = 1364454
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 3094
List of positive integer factors of 3094 that divides 3094 without a remainder.
1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094
Least Common Multiple of 3087 and 3094 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 3094, than apply into the LCM equation.
GCF(3087,3094) = 7
LCM(3087,3094) = ( 3087 × 3094) / 7
LCM(3087,3094) = 9551178 / 7
LCM(3087,3094) = 1364454
Properties of LCM 3087 and 3094
(i) The LCM of 3094 and 3087 is associative
LCM of 3087 and 3094 = LCM of 3094 and 3087
Related Least Common Multiples of 3087
Related Least Common Multiples of 3094
Frequently Asked Questions on LCM of 3087 and 3094
1. What is the LCM of 3087 and 3094?
Answer: LCM of 3087 and 3094 is 1364454.
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 3094?
Answer: Factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094. There are 16 integers that are factors of 3094. The greatest factor of 3094 is 3094.
4. How to Find the LCM of 3087 and 3094?
Answer:
Least Common Multiple of 3087 and 3094 = 1364454
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 3094
3094 = 2 x 7 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1364454 = 2 x 3 x 3 x 7 x 7 x 7 x 13 x 17
Step 4: Therefore, the least common multiple of 3087 and 3094 is 1364454.