Least Common Multiple of 3097 and 3103
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 3103 the smallest integer that is 9609991 that is divisible by both numbers.
Least Common Multiple (LCM) of 3097 and 3103 is 9609991.
LCM(3097,3103) = 9609991
LCM of 3097 and 3103
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3097 and 3103 by Prime method
- Least Common Multiple of 3097 and 3103 with GCF Formula
LCM of 3097 and 3103 is 9609991
Least common multiple can be found by multiplying the highest exponent prime factors of 3097 and 3103. First we will calculate the prime factors of 3097 and 3103.
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 3103
| 29 | 3103 |
| 107 | 107 |
| 1 |
Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:
3103 = 291×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 3097 and 3103.
LCM(3097,3103) = 191×291×1071×1631
LCM(3097,3103) = 9609991
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1, 19, 163, 3097
Factors of 3103
List of positive integer factors of 3103 that divides 3103 without a remainder.
1, 29, 107, 3103
Least Common Multiple of 3097 and 3103 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 3103, than apply into the LCM equation.
GCF(3097,3103) = 1
LCM(3097,3103) = ( 3097 × 3103) / 1
LCM(3097,3103) = 9609991 / 1
LCM(3097,3103) = 9609991
Properties of LCM 3097 and 3103
(i) The LCM of 3103 and 3097 is associative
LCM of 3097 and 3103 = LCM of 3103 and 3097
Related Least Common Multiples of 3097
Related Least Common Multiples of 3103
Frequently Asked Questions on LCM of 3097 and 3103
1. What is the LCM of 3097 and 3103?
Answer: LCM of 3097 and 3103 is 9609991.
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 3103?
Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.
4. How to Find the LCM of 3097 and 3103?
Answer:
Least Common Multiple of 3097 and 3103 = 9609991
Step 1: Find the prime factorization of 3097
3097 = 19 x 163
Step 2: Find the prime factorization of 3103
3103 = 29 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9609991 = 19 x 29 x 107 x 163
Step 4: Therefore, the least common multiple of 3097 and 3103 is 9609991.