Least Common Multiple of 3087 and 3091
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 3091 the smallest integer that is 9541917 that is divisible by both numbers.
Least Common Multiple (LCM) of 3087 and 3091 is 9541917.
LCM(3087,3091) = 9541917
LCM of 3087 and 3091
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3087 and 3091 by Prime method
- Least Common Multiple of 3087 and 3091 with GCF Formula
LCM of 3087 and 3091 is 9541917
Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3091. First we will calculate the prime factors of 3087 and 3091.
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 3091
| 11 | 3091 |
| 281 | 281 |
| 1 |
Prime factors of 3091 are 11,281. Prime factorization of 3091 in exponential form is:
3091 = 111×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3091.
LCM(3087,3091) = 32×73×111×2811
LCM(3087,3091) = 9541917
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 3091
List of positive integer factors of 3091 that divides 3091 without a remainder.
1, 11, 281, 3091
Least Common Multiple of 3087 and 3091 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 3091, than apply into the LCM equation.
GCF(3087,3091) = 1
LCM(3087,3091) = ( 3087 × 3091) / 1
LCM(3087,3091) = 9541917 / 1
LCM(3087,3091) = 9541917
Properties of LCM 3087 and 3091
(i) The LCM of 3091 and 3087 is associative
LCM of 3087 and 3091 = LCM of 3091 and 3087
Related Least Common Multiples of 3087
Related Least Common Multiples of 3091
Frequently Asked Questions on LCM of 3087 and 3091
1. What is the LCM of 3087 and 3091?
Answer: LCM of 3087 and 3091 is 9541917.
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 3091?
Answer: Factors of 3091 are 1, 11, 281, 3091. There are 4 integers that are factors of 3091. The greatest factor of 3091 is 3091.
4. How to Find the LCM of 3087 and 3091?
Answer:
Least Common Multiple of 3087 and 3091 = 9541917
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 3091
3091 = 11 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9541917 = 3 x 3 x 7 x 7 x 7 x 11 x 281
Step 4: Therefore, the least common multiple of 3087 and 3091 is 9541917.