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 3668 the smallest integer that is 13435884 that is divisible by both numbers.
Least Common Multiple (LCM) of 3663 and 3668 is 13435884.
LCM(3663,3668) = 13435884
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 3668. First we will calculate the prime factors of 3663 and 3668.
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 3668
2 | 3668 |
2 | 1834 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 3668 are 2, 7,131. Prime factorization of 3668 in exponential form is:
3668 = 22×71×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 3663 and 3668.
LCM(3663,3668) = 22×32×71×111×371×1311
LCM(3663,3668) = 13435884
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 3668
List of positive integer factors of 3668 that divides 3668 without a remainder.
1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3663 and 3668, than apply into the LCM equation.
GCF(3663,3668) = 1
LCM(3663,3668) = ( 3663 × 3668) / 1
LCM(3663,3668) = 13435884 / 1
LCM(3663,3668) = 13435884
(i) The LCM of 3668 and 3663 is associative
LCM of 3663 and 3668 = LCM of 3668 and 3663
1. What is the LCM of 3663 and 3668?
Answer: LCM of 3663 and 3668 is 13435884.
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 3668?
Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.
4. How to Find the LCM of 3663 and 3668?
Answer:
Least Common Multiple of 3663 and 3668 = 13435884
Step 1: Find the prime factorization of 3663
3663 = 3 x 3 x 11 x 37
Step 2: Find the prime factorization of 3668
3668 = 2 x 2 x 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13435884 = 2 x 2 x 3 x 3 x 7 x 11 x 37 x 131
Step 4: Therefore, the least common multiple of 3663 and 3668 is 13435884.