Least Common Multiple of 3094 and 3099
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3094 and 3099 the smallest integer that is 9588306 that is divisible by both numbers.
Least Common Multiple (LCM) of 3094 and 3099 is 9588306.
LCM(3094,3099) = 9588306
LCM of 3094 and 3099
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3094 and 3099 by Prime method
- Least Common Multiple of 3094 and 3099 with GCF Formula
LCM of 3094 and 3099 is 9588306
Least common multiple can be found by multiplying the highest exponent prime factors of 3094 and 3099. First we will calculate the prime factors of 3094 and 3099.
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
Prime Factorization of 3099
| 3 | 3099 |
| 1033 | 1033 |
| 1 |
Prime factors of 3099 are 3,1033. Prime factorization of 3099 in exponential form is:
3099 = 31×10331
Now multiplying the highest exponent prime factors to calculate the LCM of 3094 and 3099.
LCM(3094,3099) = 21×31×71×131×171×10331
LCM(3094,3099) = 9588306
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
Factors of 3099
List of positive integer factors of 3099 that divides 3099 without a remainder.
1, 3, 1033, 3099
Least Common Multiple of 3094 and 3099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3094 and 3099, than apply into the LCM equation.
GCF(3094,3099) = 1
LCM(3094,3099) = ( 3094 × 3099) / 1
LCM(3094,3099) = 9588306 / 1
LCM(3094,3099) = 9588306
Properties of LCM 3094 and 3099
(i) The LCM of 3099 and 3094 is associative
LCM of 3094 and 3099 = LCM of 3099 and 3094
Related Least Common Multiples of 3094
Related Least Common Multiples of 3099
Frequently Asked Questions on LCM of 3094 and 3099
1. What is the LCM of 3094 and 3099?
Answer: LCM of 3094 and 3099 is 9588306.
2. 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.
3. What are the Factors of 3099?
Answer: Factors of 3099 are 1, 3, 1033, 3099. There are 4 integers that are factors of 3099. The greatest factor of 3099 is 3099.
4. How to Find the LCM of 3094 and 3099?
Answer:
Least Common Multiple of 3094 and 3099 = 9588306
Step 1: Find the prime factorization of 3094
3094 = 2 x 7 x 13 x 17
Step 2: Find the prime factorization of 3099
3099 = 3 x 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9588306 = 2 x 3 x 7 x 13 x 17 x 1033
Step 4: Therefore, the least common multiple of 3094 and 3099 is 9588306.