Least Common Multiple of 3497 and 3501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3497 and 3501 the smallest integer that is 12242997 that is divisible by both numbers.
Least Common Multiple (LCM) of 3497 and 3501 is 12242997.
LCM(3497,3501) = 12242997
LCM of 3497 and 3501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3497 and 3501 by Prime method
- Least Common Multiple of 3497 and 3501 with GCF Formula
LCM of 3497 and 3501 is 12242997
Least common multiple can be found by multiplying the highest exponent prime factors of 3497 and 3501. First we will calculate the prime factors of 3497 and 3501.
Prime Factorization of 3497
| 13 | 3497 |
| 269 | 269 |
| 1 |
Prime factors of 3497 are 13,269. Prime factorization of 3497 in exponential form is:
3497 = 131×2691
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3497 and 3501.
LCM(3497,3501) = 32×131×2691×3891
LCM(3497,3501) = 12242997
Factors of 3497
List of positive integer factors of 3497 that divides 3497 without a remainder.
1, 13, 269, 3497
Factors of 3501
List of positive integer factors of 3501 that divides 3501 without a remainder.
1, 3, 9, 389, 1167, 3501
Least Common Multiple of 3497 and 3501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3497 and 3501, than apply into the LCM equation.
GCF(3497,3501) = 1
LCM(3497,3501) = ( 3497 × 3501) / 1
LCM(3497,3501) = 12242997 / 1
LCM(3497,3501) = 12242997
Properties of LCM 3497 and 3501
(i) The LCM of 3501 and 3497 is associative
LCM of 3497 and 3501 = LCM of 3501 and 3497
Related Least Common Multiples of 3497
Related Least Common Multiples of 3501
Frequently Asked Questions on LCM of 3497 and 3501
1. What is the LCM of 3497 and 3501?
Answer: LCM of 3497 and 3501 is 12242997.
2. What are the Factors of 3497?
Answer: Factors of 3497 are 1, 13, 269, 3497. There are 4 integers that are factors of 3497. The greatest factor of 3497 is 3497.
3. 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.
4. How to Find the LCM of 3497 and 3501?
Answer:
Least Common Multiple of 3497 and 3501 = 12242997
Step 1: Find the prime factorization of 3497
3497 = 13 x 269
Step 2: Find the prime factorization of 3501
3501 = 3 x 3 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12242997 = 3 x 3 x 13 x 269 x 389
Step 4: Therefore, the least common multiple of 3497 and 3501 is 12242997.