Least Common Multiple of 3655 and 3663
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3655 and 3663 the smallest integer that is 13388265 that is divisible by both numbers.
Least Common Multiple (LCM) of 3655 and 3663 is 13388265.
LCM(3655,3663) = 13388265
LCM of 3655 and 3663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3655 and 3663 by Prime method
- Least Common Multiple of 3655 and 3663 with GCF Formula
LCM of 3655 and 3663 is 13388265
Least common multiple can be found by multiplying the highest exponent prime factors of 3655 and 3663. First we will calculate the prime factors of 3655 and 3663.
Prime Factorization of 3655
| 5 | 3655 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 3655 are 5, 17,43. Prime factorization of 3655 in exponential form is:
3655 = 51×171×431
Prime Factorization of 3663
| 3 | 3663 |
| 3 | 1221 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 3663 are 3, 11,37. Prime factorization of 3663 in exponential form is:
3663 = 32×111×371
Now multiplying the highest exponent prime factors to calculate the LCM of 3655 and 3663.
LCM(3655,3663) = 32×51×111×171×371×431
LCM(3655,3663) = 13388265
Factors of 3655
List of positive integer factors of 3655 that divides 3655 without a remainder.
1, 5, 17, 43, 85, 215, 731, 3655
Factors of 3663
List of positive integer factors of 3663 that divides 3663 without a remainder.
1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
Least Common Multiple of 3655 and 3663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3655 and 3663, than apply into the LCM equation.
GCF(3655,3663) = 1
LCM(3655,3663) = ( 3655 × 3663) / 1
LCM(3655,3663) = 13388265 / 1
LCM(3655,3663) = 13388265
Properties of LCM 3655 and 3663
(i) The LCM of 3663 and 3655 is associative
LCM of 3655 and 3663 = LCM of 3663 and 3655
Related Least Common Multiples of 3655
Related Least Common Multiples of 3663
Frequently Asked Questions on LCM of 3655 and 3663
1. What is the LCM of 3655 and 3663?
Answer: LCM of 3655 and 3663 is 13388265.
2. What are the Factors of 3655?
Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.
3. What are the Factors of 3663?
Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.
4. How to Find the LCM of 3655 and 3663?
Answer:
Least Common Multiple of 3655 and 3663 = 13388265
Step 1: Find the prime factorization of 3655
3655 = 5 x 17 x 43
Step 2: Find the prime factorization of 3663
3663 = 3 x 3 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13388265 = 3 x 3 x 5 x 11 x 17 x 37 x 43
Step 4: Therefore, the least common multiple of 3655 and 3663 is 13388265.