Least Common Multiple of 3605 and 3606
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3605 and 3606 the smallest integer that is 12999630 that is divisible by both numbers.
Least Common Multiple (LCM) of 3605 and 3606 is 12999630.
LCM(3605,3606) = 12999630
LCM of 3605 and 3606
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3605 and 3606 by Prime method
- Least Common Multiple of 3605 and 3606 with GCF Formula
LCM of 3605 and 3606 is 12999630
Least common multiple can be found by multiplying the highest exponent prime factors of 3605 and 3606. First we will calculate the prime factors of 3605 and 3606.
Prime Factorization of 3605
| 5 | 3605 |
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 3605 are 5, 7,103. Prime factorization of 3605 in exponential form is:
3605 = 51×71×1031
Prime Factorization of 3606
| 2 | 3606 |
| 3 | 1803 |
| 601 | 601 |
| 1 |
Prime factors of 3606 are 2, 3,601. Prime factorization of 3606 in exponential form is:
3606 = 21×31×6011
Now multiplying the highest exponent prime factors to calculate the LCM of 3605 and 3606.
LCM(3605,3606) = 21×31×51×71×1031×6011
LCM(3605,3606) = 12999630
Factors of 3605
List of positive integer factors of 3605 that divides 3605 without a remainder.
1, 5, 7, 35, 103, 515, 721, 3605
Factors of 3606
List of positive integer factors of 3606 that divides 3606 without a remainder.
1, 2, 3, 6, 601, 1202, 1803, 3606
Least Common Multiple of 3605 and 3606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3605 and 3606, than apply into the LCM equation.
GCF(3605,3606) = 1
LCM(3605,3606) = ( 3605 × 3606) / 1
LCM(3605,3606) = 12999630 / 1
LCM(3605,3606) = 12999630
Properties of LCM 3605 and 3606
(i) The LCM of 3606 and 3605 is associative
LCM of 3605 and 3606 = LCM of 3606 and 3605
Related Least Common Multiples of 3605
Related Least Common Multiples of 3606
Frequently Asked Questions on LCM of 3605 and 3606
1. What is the LCM of 3605 and 3606?
Answer: LCM of 3605 and 3606 is 12999630.
2. What are the Factors of 3605?
Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.
3. What are the Factors of 3606?
Answer: Factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606. There are 8 integers that are factors of 3606. The greatest factor of 3606 is 3606.
4. How to Find the LCM of 3605 and 3606?
Answer:
Least Common Multiple of 3605 and 3606 = 12999630
Step 1: Find the prime factorization of 3605
3605 = 5 x 7 x 103
Step 2: Find the prime factorization of 3606
3606 = 2 x 3 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12999630 = 2 x 3 x 5 x 7 x 103 x 601
Step 4: Therefore, the least common multiple of 3605 and 3606 is 12999630.