Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3501 and 3509 the smallest integer that is 12285009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3501 and 3509 is 12285009.
LCM(3501,3509) = 12285009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3501 and 3509. First we will calculate the prime factors of 3501 and 3509.
Prime Factorization of 3501
3 | 3501 |
3 | 1167 |
389 | 389 |
1 |
Prime factors of 3501 are 3,389. Prime factorization of 3501 in exponential form is:
3501 = 32×3891
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 3501 and 3509.
LCM(3501,3509) = 32×112×291×3891
LCM(3501,3509) = 12285009
Factors of 3501
List of positive integer factors of 3501 that divides 3501 without a remainder.
1, 3, 9, 389, 1167, 3501
Factors of 3509
List of positive integer factors of 3509 that divides 3509 without a remainder.
1, 11, 29, 121, 319, 3509
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3501 and 3509, than apply into the LCM equation.
GCF(3501,3509) = 1
LCM(3501,3509) = ( 3501 × 3509) / 1
LCM(3501,3509) = 12285009 / 1
LCM(3501,3509) = 12285009
(i) The LCM of 3509 and 3501 is associative
LCM of 3501 and 3509 = LCM of 3509 and 3501
1. What is the LCM of 3501 and 3509?
Answer: LCM of 3501 and 3509 is 12285009.
2. What are the Factors of 3501?
Answer: Factors of 3501 are 1, 3, 9, 389, 1167, 3501. There are 6 integers that are factors of 3501. The greatest factor of 3501 is 3501.
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 3501 and 3509?
Answer:
Least Common Multiple of 3501 and 3509 = 12285009
Step 1: Find the prime factorization of 3501
3501 = 3 x 3 x 389
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 = 12285009 = 3 x 3 x 11 x 11 x 29 x 389
Step 4: Therefore, the least common multiple of 3501 and 3509 is 12285009.