Least Common Multiple of 3097 and 3101
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 3101 the smallest integer that is 9603797 that is divisible by both numbers.
Least Common Multiple (LCM) of 3097 and 3101 is 9603797.
LCM(3097,3101) = 9603797
LCM of 3097 and 3101
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3097 and 3101 by Prime method
- Least Common Multiple of 3097 and 3101 with GCF Formula
LCM of 3097 and 3101 is 9603797
Least common multiple can be found by multiplying the highest exponent prime factors of 3097 and 3101. First we will calculate the prime factors of 3097 and 3101.
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 3101
| 7 | 3101 |
| 443 | 443 |
| 1 |
Prime factors of 3101 are 7,443. Prime factorization of 3101 in exponential form is:
3101 = 71×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 3097 and 3101.
LCM(3097,3101) = 71×191×1631×4431
LCM(3097,3101) = 9603797
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1, 19, 163, 3097
Factors of 3101
List of positive integer factors of 3101 that divides 3101 without a remainder.
1, 7, 443, 3101
Least Common Multiple of 3097 and 3101 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 3101, than apply into the LCM equation.
GCF(3097,3101) = 1
LCM(3097,3101) = ( 3097 × 3101) / 1
LCM(3097,3101) = 9603797 / 1
LCM(3097,3101) = 9603797
Properties of LCM 3097 and 3101
(i) The LCM of 3101 and 3097 is associative
LCM of 3097 and 3101 = LCM of 3101 and 3097
Related Least Common Multiples of 3097
Related Least Common Multiples of 3101
Frequently Asked Questions on LCM of 3097 and 3101
1. What is the LCM of 3097 and 3101?
Answer: LCM of 3097 and 3101 is 9603797.
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 3101?
Answer: Factors of 3101 are 1, 7, 443, 3101. There are 4 integers that are factors of 3101. The greatest factor of 3101 is 3101.
4. How to Find the LCM of 3097 and 3101?
Answer:
Least Common Multiple of 3097 and 3101 = 9603797
Step 1: Find the prime factorization of 3097
3097 = 19 x 163
Step 2: Find the prime factorization of 3101
3101 = 7 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9603797 = 7 x 19 x 163 x 443
Step 4: Therefore, the least common multiple of 3097 and 3101 is 9603797.
