Least Common Multiple of 3509 and 3513
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3509 and 3513 the smallest integer that is 12327117 that is divisible by both numbers.
Least Common Multiple (LCM) of 3509 and 3513 is 12327117.
LCM(3509,3513) = 12327117
LCM of 3509 and 3513
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3509 and 3513 by Prime method
- Least Common Multiple of 3509 and 3513 with GCF Formula
LCM of 3509 and 3513 is 12327117
Least common multiple can be found by multiplying the highest exponent prime factors of 3509 and 3513. First we will calculate the prime factors of 3509 and 3513.
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
Prime Factorization of 3513
| 3 | 3513 |
| 1171 | 1171 |
| 1 |
Prime factors of 3513 are 3,1171. Prime factorization of 3513 in exponential form is:
3513 = 31×11711
Now multiplying the highest exponent prime factors to calculate the LCM of 3509 and 3513.
LCM(3509,3513) = 31×112×291×11711
LCM(3509,3513) = 12327117
Factors of 3509
List of positive integer factors of 3509 that divides 3509 without a remainder.
1, 11, 29, 121, 319, 3509
Factors of 3513
List of positive integer factors of 3513 that divides 3513 without a remainder.
1, 3, 1171, 3513
Least Common Multiple of 3509 and 3513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3509 and 3513, than apply into the LCM equation.
GCF(3509,3513) = 1
LCM(3509,3513) = ( 3509 × 3513) / 1
LCM(3509,3513) = 12327117 / 1
LCM(3509,3513) = 12327117
Properties of LCM 3509 and 3513
(i) The LCM of 3513 and 3509 is associative
LCM of 3509 and 3513 = LCM of 3513 and 3509
Related Least Common Multiples of 3509
Related Least Common Multiples of 3513
Frequently Asked Questions on LCM of 3509 and 3513
1. What is the LCM of 3509 and 3513?
Answer: LCM of 3509 and 3513 is 12327117.
2. 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.
3. What are the Factors of 3513?
Answer: Factors of 3513 are 1, 3, 1171, 3513. There are 4 integers that are factors of 3513. The greatest factor of 3513 is 3513.
4. How to Find the LCM of 3509 and 3513?
Answer:
Least Common Multiple of 3509 and 3513 = 12327117
Step 1: Find the prime factorization of 3509
3509 = 11 x 11 x 29
Step 2: Find the prime factorization of 3513
3513 = 3 x 1171
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12327117 = 3 x 11 x 11 x 29 x 1171
Step 4: Therefore, the least common multiple of 3509 and 3513 is 12327117.