Least Common Multiple of 3675 and 3681
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3675 and 3681 the smallest integer that is 4509225 that is divisible by both numbers.
Least Common Multiple (LCM) of 3675 and 3681 is 4509225.
LCM(3675,3681) = 4509225
LCM of 3675 and 3681
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3675 and 3681 by Prime method
- Least Common Multiple of 3675 and 3681 with GCF Formula
LCM of 3675 and 3681 is 4509225
Least common multiple can be found by multiplying the highest exponent prime factors of 3675 and 3681. First we will calculate the prime factors of 3675 and 3681.
Prime Factorization of 3675
| 3 | 3675 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 3675 are 3, 5,7. Prime factorization of 3675 in exponential form is:
3675 = 31×52×72
Prime Factorization of 3681
| 3 | 3681 |
| 3 | 1227 |
| 409 | 409 |
| 1 |
Prime factors of 3681 are 3,409. Prime factorization of 3681 in exponential form is:
3681 = 32×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 3675 and 3681.
LCM(3675,3681) = 32×52×72×4091
LCM(3675,3681) = 4509225
Factors of 3675
List of positive integer factors of 3675 that divides 3675 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
Factors of 3681
List of positive integer factors of 3681 that divides 3681 without a remainder.
1, 3, 9, 409, 1227, 3681
Least Common Multiple of 3675 and 3681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3675 and 3681, than apply into the LCM equation.
GCF(3675,3681) = 3
LCM(3675,3681) = ( 3675 × 3681) / 3
LCM(3675,3681) = 13527675 / 3
LCM(3675,3681) = 4509225
Properties of LCM 3675 and 3681
(i) The LCM of 3681 and 3675 is associative
LCM of 3675 and 3681 = LCM of 3681 and 3675
Related Least Common Multiples of 3675
Related Least Common Multiples of 3681
Frequently Asked Questions on LCM of 3675 and 3681
1. What is the LCM of 3675 and 3681?
Answer: LCM of 3675 and 3681 is 4509225.
2. What are the Factors of 3675?
Answer: Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. There are 18 integers that are factors of 3675. The greatest factor of 3675 is 3675.
3. What are the Factors of 3681?
Answer: Factors of 3681 are 1, 3, 9, 409, 1227, 3681. There are 6 integers that are factors of 3681. The greatest factor of 3681 is 3681.
4. How to Find the LCM of 3675 and 3681?
Answer:
Least Common Multiple of 3675 and 3681 = 4509225
Step 1: Find the prime factorization of 3675
3675 = 3 x 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 3681
3681 = 3 x 3 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4509225 = 3 x 3 x 5 x 5 x 7 x 7 x 409
Step 4: Therefore, the least common multiple of 3675 and 3681 is 4509225.