Least Common Multiple of 3549 and 3553
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3549 and 3553 the smallest integer that is 12609597 that is divisible by both numbers.
Least Common Multiple (LCM) of 3549 and 3553 is 12609597.
LCM(3549,3553) = 12609597
LCM of 3549 and 3553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3549 and 3553 by Prime method
- Least Common Multiple of 3549 and 3553 with GCF Formula
LCM of 3549 and 3553 is 12609597
Least common multiple can be found by multiplying the highest exponent prime factors of 3549 and 3553. First we will calculate the prime factors of 3549 and 3553.
Prime Factorization of 3549
| 3 | 3549 |
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 3549 are 3, 7,13. Prime factorization of 3549 in exponential form is:
3549 = 31×71×132
Prime Factorization of 3553
| 11 | 3553 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 3553 are 11, 17,19. Prime factorization of 3553 in exponential form is:
3553 = 111×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3549 and 3553.
LCM(3549,3553) = 31×71×111×132×171×191
LCM(3549,3553) = 12609597
Factors of 3549
List of positive integer factors of 3549 that divides 3549 without a remainder.
1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
Factors of 3553
List of positive integer factors of 3553 that divides 3553 without a remainder.
1, 11, 17, 19, 187, 209, 323, 3553
Least Common Multiple of 3549 and 3553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3549 and 3553, than apply into the LCM equation.
GCF(3549,3553) = 1
LCM(3549,3553) = ( 3549 × 3553) / 1
LCM(3549,3553) = 12609597 / 1
LCM(3549,3553) = 12609597
Properties of LCM 3549 and 3553
(i) The LCM of 3553 and 3549 is associative
LCM of 3549 and 3553 = LCM of 3553 and 3549
Related Least Common Multiples of 3549
Related Least Common Multiples of 3553
Frequently Asked Questions on LCM of 3549 and 3553
1. What is the LCM of 3549 and 3553?
Answer: LCM of 3549 and 3553 is 12609597.
2. What are the Factors of 3549?
Answer: Factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549. There are 12 integers that are factors of 3549. The greatest factor of 3549 is 3549.
3. What are the Factors of 3553?
Answer: Factors of 3553 are 1, 11, 17, 19, 187, 209, 323, 3553. There are 8 integers that are factors of 3553. The greatest factor of 3553 is 3553.
4. How to Find the LCM of 3549 and 3553?
Answer:
Least Common Multiple of 3549 and 3553 = 12609597
Step 1: Find the prime factorization of 3549
3549 = 3 x 7 x 13 x 13
Step 2: Find the prime factorization of 3553
3553 = 11 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12609597 = 3 x 7 x 11 x 13 x 13 x 17 x 19
Step 4: Therefore, the least common multiple of 3549 and 3553 is 12609597.