Least Common Multiple of 3538 and 3545
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3538 and 3545 the smallest integer that is 12542210 that is divisible by both numbers.
Least Common Multiple (LCM) of 3538 and 3545 is 12542210.
LCM(3538,3545) = 12542210
LCM of 3538 and 3545
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3538 and 3545 by Prime method
- Least Common Multiple of 3538 and 3545 with GCF Formula
LCM of 3538 and 3545 is 12542210
Least common multiple can be found by multiplying the highest exponent prime factors of 3538 and 3545. First we will calculate the prime factors of 3538 and 3545.
Prime Factorization of 3538
| 2 | 3538 |
| 29 | 1769 |
| 61 | 61 |
| 1 |
Prime factors of 3538 are 2, 29,61. Prime factorization of 3538 in exponential form is:
3538 = 21×291×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3538 and 3545.
LCM(3538,3545) = 21×51×291×611×7091
LCM(3538,3545) = 12542210
Factors of 3538
List of positive integer factors of 3538 that divides 3538 without a remainder.
1, 2, 29, 58, 61, 122, 1769, 3538
Factors of 3545
List of positive integer factors of 3545 that divides 3545 without a remainder.
1, 5, 709, 3545
Least Common Multiple of 3538 and 3545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3538 and 3545, than apply into the LCM equation.
GCF(3538,3545) = 1
LCM(3538,3545) = ( 3538 × 3545) / 1
LCM(3538,3545) = 12542210 / 1
LCM(3538,3545) = 12542210
Properties of LCM 3538 and 3545
(i) The LCM of 3545 and 3538 is associative
LCM of 3538 and 3545 = LCM of 3545 and 3538
Related Least Common Multiples of 3538
Related Least Common Multiples of 3545
Frequently Asked Questions on LCM of 3538 and 3545
1. What is the LCM of 3538 and 3545?
Answer: LCM of 3538 and 3545 is 12542210.
2. What are the Factors of 3538?
Answer: Factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538. There are 8 integers that are factors of 3538. The greatest factor of 3538 is 3538.
3. 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.
4. How to Find the LCM of 3538 and 3545?
Answer:
Least Common Multiple of 3538 and 3545 = 12542210
Step 1: Find the prime factorization of 3538
3538 = 2 x 29 x 61
Step 2: Find the prime factorization of 3545
3545 = 5 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12542210 = 2 x 5 x 29 x 61 x 709
Step 4: Therefore, the least common multiple of 3538 and 3545 is 12542210.