Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3663 and 3665 the smallest integer that is 13424895 that is divisible by both numbers.
Least Common Multiple (LCM) of 3663 and 3665 is 13424895.
LCM(3663,3665) = 13424895
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3663 and 3665. First we will calculate the prime factors of 3663 and 3665.
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
Prime Factorization of 3665
5 | 3665 |
733 | 733 |
1 |
Prime factors of 3665 are 5,733. Prime factorization of 3665 in exponential form is:
3665 = 51×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 3663 and 3665.
LCM(3663,3665) = 32×51×111×371×7331
LCM(3663,3665) = 13424895
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
Factors of 3665
List of positive integer factors of 3665 that divides 3665 without a remainder.
1, 5, 733, 3665
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3663 and 3665, than apply into the LCM equation.
GCF(3663,3665) = 1
LCM(3663,3665) = ( 3663 × 3665) / 1
LCM(3663,3665) = 13424895 / 1
LCM(3663,3665) = 13424895
(i) The LCM of 3665 and 3663 is associative
LCM of 3663 and 3665 = LCM of 3665 and 3663
1. What is the LCM of 3663 and 3665?
Answer: LCM of 3663 and 3665 is 13424895.
2. 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.
3. What are the Factors of 3665?
Answer: Factors of 3665 are 1, 5, 733, 3665. There are 4 integers that are factors of 3665. The greatest factor of 3665 is 3665.
4. How to Find the LCM of 3663 and 3665?
Answer:
Least Common Multiple of 3663 and 3665 = 13424895
Step 1: Find the prime factorization of 3663
3663 = 3 x 3 x 11 x 37
Step 2: Find the prime factorization of 3665
3665 = 5 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13424895 = 3 x 3 x 5 x 11 x 37 x 733
Step 4: Therefore, the least common multiple of 3663 and 3665 is 13424895.