Least Common Multiple of 3485 and 3493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3485 and 3493 the smallest integer that is 12173105 that is divisible by both numbers.
Least Common Multiple (LCM) of 3485 and 3493 is 12173105.
LCM(3485,3493) = 12173105
LCM of 3485 and 3493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3485 and 3493 by Prime method
- Least Common Multiple of 3485 and 3493 with GCF Formula
LCM of 3485 and 3493 is 12173105
Least common multiple can be found by multiplying the highest exponent prime factors of 3485 and 3493. First we will calculate the prime factors of 3485 and 3493.
Prime Factorization of 3485
| 5 | 3485 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 3485 are 5, 17,41. Prime factorization of 3485 in exponential form is:
3485 = 51×171×411
Prime Factorization of 3493
| 7 | 3493 |
| 499 | 499 |
| 1 |
Prime factors of 3493 are 7,499. Prime factorization of 3493 in exponential form is:
3493 = 71×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 3485 and 3493.
LCM(3485,3493) = 51×71×171×411×4991
LCM(3485,3493) = 12173105
Factors of 3485
List of positive integer factors of 3485 that divides 3485 without a remainder.
1, 5, 17, 41, 85, 205, 697, 3485
Factors of 3493
List of positive integer factors of 3493 that divides 3493 without a remainder.
1, 7, 499, 3493
Least Common Multiple of 3485 and 3493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3485 and 3493, than apply into the LCM equation.
GCF(3485,3493) = 1
LCM(3485,3493) = ( 3485 × 3493) / 1
LCM(3485,3493) = 12173105 / 1
LCM(3485,3493) = 12173105
Properties of LCM 3485 and 3493
(i) The LCM of 3493 and 3485 is associative
LCM of 3485 and 3493 = LCM of 3493 and 3485
Related Least Common Multiples of 3485
Related Least Common Multiples of 3493
Frequently Asked Questions on LCM of 3485 and 3493
1. What is the LCM of 3485 and 3493?
Answer: LCM of 3485 and 3493 is 12173105.
2. What are the Factors of 3485?
Answer: Factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485. There are 8 integers that are factors of 3485. The greatest factor of 3485 is 3485.
3. What are the Factors of 3493?
Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.
4. How to Find the LCM of 3485 and 3493?
Answer:
Least Common Multiple of 3485 and 3493 = 12173105
Step 1: Find the prime factorization of 3485
3485 = 5 x 17 x 41
Step 2: Find the prime factorization of 3493
3493 = 7 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12173105 = 5 x 7 x 17 x 41 x 499
Step 4: Therefore, the least common multiple of 3485 and 3493 is 12173105.