Least Common Multiple of 3545 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 3545 and 3553 the smallest integer that is 12595385 that is divisible by both numbers.
Least Common Multiple (LCM) of 3545 and 3553 is 12595385.
LCM(3545,3553) = 12595385
LCM of 3545 and 3553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3545 and 3553 by Prime method
- Least Common Multiple of 3545 and 3553 with GCF Formula
LCM of 3545 and 3553 is 12595385
Least common multiple can be found by multiplying the highest exponent prime factors of 3545 and 3553. First we will calculate the prime factors of 3545 and 3553.
Prime Factorization of 3545
| 5 | 3545 |
| 709 | 709 |
| 1 |
Prime factors of 3545 are 5,709. Prime factorization of 3545 in exponential form is:
3545 = 51×7091
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 3545 and 3553.
LCM(3545,3553) = 51×111×171×191×7091
LCM(3545,3553) = 12595385
Factors of 3545
List of positive integer factors of 3545 that divides 3545 without a remainder.
1, 5, 709, 3545
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 3545 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 3545 and 3553, than apply into the LCM equation.
GCF(3545,3553) = 1
LCM(3545,3553) = ( 3545 × 3553) / 1
LCM(3545,3553) = 12595385 / 1
LCM(3545,3553) = 12595385
Properties of LCM 3545 and 3553
(i) The LCM of 3553 and 3545 is associative
LCM of 3545 and 3553 = LCM of 3553 and 3545
Related Least Common Multiples of 3545
Related Least Common Multiples of 3553
Frequently Asked Questions on LCM of 3545 and 3553
1. What is the LCM of 3545 and 3553?
Answer: LCM of 3545 and 3553 is 12595385.
2. What are the Factors of 3545?
Answer: Factors of 3545 are 1, 5, 709, 3545. There are 4 integers that are factors of 3545. The greatest factor of 3545 is 3545.
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 3545 and 3553?
Answer:
Least Common Multiple of 3545 and 3553 = 12595385
Step 1: Find the prime factorization of 3545
3545 = 5 x 709
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 = 12595385 = 5 x 11 x 17 x 19 x 709
Step 4: Therefore, the least common multiple of 3545 and 3553 is 12595385.