Least Common Multiple of 3485 and 3491
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 3491 the smallest integer that is 12166135 that is divisible by both numbers.
Least Common Multiple (LCM) of 3485 and 3491 is 12166135.
LCM(3485,3491) = 12166135
LCM of 3485 and 3491
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3485 and 3491 by Prime method
- Least Common Multiple of 3485 and 3491 with GCF Formula
LCM of 3485 and 3491 is 12166135
Least common multiple can be found by multiplying the highest exponent prime factors of 3485 and 3491. First we will calculate the prime factors of 3485 and 3491.
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 3491
| 3491 | 3491 |
| 1 |
Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:
3491 = 34911
Now multiplying the highest exponent prime factors to calculate the LCM of 3485 and 3491.
LCM(3485,3491) = 51×171×411×34911
LCM(3485,3491) = 12166135
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 3491
List of positive integer factors of 3491 that divides 3491 without a remainder.
1, 3491
Least Common Multiple of 3485 and 3491 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 3491, than apply into the LCM equation.
GCF(3485,3491) = 1
LCM(3485,3491) = ( 3485 × 3491) / 1
LCM(3485,3491) = 12166135 / 1
LCM(3485,3491) = 12166135
Properties of LCM 3485 and 3491
(i) The LCM of 3491 and 3485 is associative
LCM of 3485 and 3491 = LCM of 3491 and 3485
Related Least Common Multiples of 3485
Related Least Common Multiples of 3491
Frequently Asked Questions on LCM of 3485 and 3491
1. What is the LCM of 3485 and 3491?
Answer: LCM of 3485 and 3491 is 12166135.
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 3491?
Answer: Factors of 3491 are 1, 3491. There are 2 integers that are factors of 3491. The greatest factor of 3491 is 3491.
4. How to Find the LCM of 3485 and 3491?
Answer:
Least Common Multiple of 3485 and 3491 = 12166135
Step 1: Find the prime factorization of 3485
3485 = 5 x 17 x 41
Step 2: Find the prime factorization of 3491
3491 = 3491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12166135 = 5 x 17 x 41 x 3491
Step 4: Therefore, the least common multiple of 3485 and 3491 is 12166135.