Least Common Multiple of 3505 and 3509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3505 and 3509 the smallest integer that is 12299045 that is divisible by both numbers.
Least Common Multiple (LCM) of 3505 and 3509 is 12299045.
LCM(3505,3509) = 12299045
LCM of 3505 and 3509
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3505 and 3509 by Prime method
- Least Common Multiple of 3505 and 3509 with GCF Formula
LCM of 3505 and 3509 is 12299045
Least common multiple can be found by multiplying the highest exponent prime factors of 3505 and 3509. First we will calculate the prime factors of 3505 and 3509.
Prime Factorization of 3505
| 5 | 3505 |
| 701 | 701 |
| 1 |
Prime factors of 3505 are 5,701. Prime factorization of 3505 in exponential form is:
3505 = 51×7011
Prime Factorization of 3509
| 11 | 3509 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 3509 are 11,29. Prime factorization of 3509 in exponential form is:
3509 = 112×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3505 and 3509.
LCM(3505,3509) = 51×112×291×7011
LCM(3505,3509) = 12299045
Factors of 3505
List of positive integer factors of 3505 that divides 3505 without a remainder.
1, 5, 701, 3505
Factors of 3509
List of positive integer factors of 3509 that divides 3509 without a remainder.
1, 11, 29, 121, 319, 3509
Least Common Multiple of 3505 and 3509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3505 and 3509, than apply into the LCM equation.
GCF(3505,3509) = 1
LCM(3505,3509) = ( 3505 × 3509) / 1
LCM(3505,3509) = 12299045 / 1
LCM(3505,3509) = 12299045
Properties of LCM 3505 and 3509
(i) The LCM of 3509 and 3505 is associative
LCM of 3505 and 3509 = LCM of 3509 and 3505
Related Least Common Multiples of 3505
Related Least Common Multiples of 3509
Frequently Asked Questions on LCM of 3505 and 3509
1. What is the LCM of 3505 and 3509?
Answer: LCM of 3505 and 3509 is 12299045.
2. What are the Factors of 3505?
Answer: Factors of 3505 are 1, 5, 701, 3505. There are 4 integers that are factors of 3505. The greatest factor of 3505 is 3505.
3. What are the Factors of 3509?
Answer: Factors of 3509 are 1, 11, 29, 121, 319, 3509. There are 6 integers that are factors of 3509. The greatest factor of 3509 is 3509.
4. How to Find the LCM of 3505 and 3509?
Answer:
Least Common Multiple of 3505 and 3509 = 12299045
Step 1: Find the prime factorization of 3505
3505 = 5 x 701
Step 2: Find the prime factorization of 3509
3509 = 11 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12299045 = 5 x 11 x 11 x 29 x 701
Step 4: Therefore, the least common multiple of 3505 and 3509 is 12299045.