Least Common Multiple of 3097 and 3098
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 3098 the smallest integer that is 9594506 that is divisible by both numbers.
Least Common Multiple (LCM) of 3097 and 3098 is 9594506.
LCM(3097,3098) = 9594506
LCM of 3097 and 3098
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3097 and 3098 by Prime method
- Least Common Multiple of 3097 and 3098 with GCF Formula
LCM of 3097 and 3098 is 9594506
Least common multiple can be found by multiplying the highest exponent prime factors of 3097 and 3098. First we will calculate the prime factors of 3097 and 3098.
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 3098
| 2 | 3098 |
| 1549 | 1549 |
| 1 |
Prime factors of 3098 are 2,1549. Prime factorization of 3098 in exponential form is:
3098 = 21×15491
Now multiplying the highest exponent prime factors to calculate the LCM of 3097 and 3098.
LCM(3097,3098) = 21×191×1631×15491
LCM(3097,3098) = 9594506
Factors of 3097
List of positive integer factors of 3097 that divides 3097 without a remainder.
1, 19, 163, 3097
Factors of 3098
List of positive integer factors of 3098 that divides 3098 without a remainder.
1, 2, 1549, 3098
Least Common Multiple of 3097 and 3098 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 3098, than apply into the LCM equation.
GCF(3097,3098) = 1
LCM(3097,3098) = ( 3097 × 3098) / 1
LCM(3097,3098) = 9594506 / 1
LCM(3097,3098) = 9594506
Properties of LCM 3097 and 3098
(i) The LCM of 3098 and 3097 is associative
LCM of 3097 and 3098 = LCM of 3098 and 3097
Related Least Common Multiples of 3097
Related Least Common Multiples of 3098
Frequently Asked Questions on LCM of 3097 and 3098
1. What is the LCM of 3097 and 3098?
Answer: LCM of 3097 and 3098 is 9594506.
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 3098?
Answer: Factors of 3098 are 1, 2, 1549, 3098. There are 4 integers that are factors of 3098. The greatest factor of 3098 is 3098.
4. How to Find the LCM of 3097 and 3098?
Answer:
Least Common Multiple of 3097 and 3098 = 9594506
Step 1: Find the prime factorization of 3097
3097 = 19 x 163
Step 2: Find the prime factorization of 3098
3098 = 2 x 1549
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9594506 = 2 x 19 x 163 x 1549
Step 4: Therefore, the least common multiple of 3097 and 3098 is 9594506.