Least Common Multiple of 3097 and 3105
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3097 and 3105 the smallest integer that is 9616185 that is divisible by both numbers.
Least Common Multiple (LCM) of 3097 and 3105 is 9616185.
LCM(3097,3105) = 9616185
LCM of 3097 and 3105
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3097 and 3105 by Prime method
- Least Common Multiple of 3097 and 3105 with GCF Formula
LCM of 3097 and 3105 is 9616185
Least common multiple can be found by multiplying the highest exponent prime factors of 3097 and 3105. First we will calculate the prime factors of 3097 and 3105.
Prime Factorization of 3097
| 19 | 3097 |
| 163 | 163 |
| 1 |
Prime factors of 3097 are 19,163. Prime factorization of 3097 in exponential form is:
3097 = 191×1631
Prime Factorization of 3105
| 3 | 3105 |
| 3 | 1035 |
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 3105 are 3, 5,23. Prime factorization of 3105 in exponential form is:
3105 = 33×51×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3097 and 3105.
LCM(3097,3105) = 33×51×191×231×1631
LCM(3097,3105) = 9616185
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1, 19, 163, 3097
Factors of 3105
List of positive integer factors of 3105 that divides 3105 without a remainder.
1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
Least Common Multiple of 3097 and 3105 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3097 and 3105, than apply into the LCM equation.
GCF(3097,3105) = 1
LCM(3097,3105) = ( 3097 × 3105) / 1
LCM(3097,3105) = 9616185 / 1
LCM(3097,3105) = 9616185
Properties of LCM 3097 and 3105
(i) The LCM of 3105 and 3097 is associative
LCM of 3097 and 3105 = LCM of 3105 and 3097
Related Least Common Multiples of 3097
Related Least Common Multiples of 3105
Frequently Asked Questions on LCM of 3097 and 3105
1. What is the LCM of 3097 and 3105?
Answer: LCM of 3097 and 3105 is 9616185.
2. What are the Factors of 3097?
Answer: Factors of 3097 are 1, 19, 163, 3097. There are 4 integers that are factors of 3097. The greatest factor of 3097 is 3097.
3. What are the Factors of 3105?
Answer: Factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105. There are 16 integers that are factors of 3105. The greatest factor of 3105 is 3105.
4. How to Find the LCM of 3097 and 3105?
Answer:
Least Common Multiple of 3097 and 3105 = 9616185
Step 1: Find the prime factorization of 3097
3097 = 19 x 163
Step 2: Find the prime factorization of 3105
3105 = 3 x 3 x 3 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9616185 = 3 x 3 x 3 x 5 x 19 x 23 x 163
Step 4: Therefore, the least common multiple of 3097 and 3105 is 9616185.