Least Common Multiple of 3093 and 3097
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3093 and 3097 the smallest integer that is 9579021 that is divisible by both numbers.
Least Common Multiple (LCM) of 3093 and 3097 is 9579021.
LCM(3093,3097) = 9579021
LCM of 3093 and 3097
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3093 and 3097 by Prime method
- Least Common Multiple of 3093 and 3097 with GCF Formula
LCM of 3093 and 3097 is 9579021
Least common multiple can be found by multiplying the highest exponent prime factors of 3093 and 3097. First we will calculate the prime factors of 3093 and 3097.
Prime Factorization of 3093
| 3 | 3093 |
| 1031 | 1031 |
| 1 |
Prime factors of 3093 are 3,1031. Prime factorization of 3093 in exponential form is:
3093 = 31×10311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3093 and 3097.
LCM(3093,3097) = 31×191×1631×10311
LCM(3093,3097) = 9579021
Factors of 3093
List of positive integer factors of 3093 that divides 3093 without a remainder.
1, 3, 1031, 3093
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1, 19, 163, 3097
Least Common Multiple of 3093 and 3097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3093 and 3097, than apply into the LCM equation.
GCF(3093,3097) = 1
LCM(3093,3097) = ( 3093 × 3097) / 1
LCM(3093,3097) = 9579021 / 1
LCM(3093,3097) = 9579021
Properties of LCM 3093 and 3097
(i) The LCM of 3097 and 3093 is associative
LCM of 3093 and 3097 = LCM of 3097 and 3093
Related Least Common Multiples of 3093
Related Least Common Multiples of 3097
Frequently Asked Questions on LCM of 3093 and 3097
1. What is the LCM of 3093 and 3097?
Answer: LCM of 3093 and 3097 is 9579021.
2. What are the Factors of 3093?
Answer: Factors of 3093 are 1, 3, 1031, 3093. There are 4 integers that are factors of 3093. The greatest factor of 3093 is 3093.
3. 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.
4. How to Find the LCM of 3093 and 3097?
Answer:
Least Common Multiple of 3093 and 3097 = 9579021
Step 1: Find the prime factorization of 3093
3093 = 3 x 1031
Step 2: Find the prime factorization of 3097
3097 = 19 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9579021 = 3 x 19 x 163 x 1031
Step 4: Therefore, the least common multiple of 3093 and 3097 is 9579021.