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 3612 the smallest integer that is 1860180 that is divisible by both numbers.
Least Common Multiple (LCM) of 3605 and 3612 is 1860180.
LCM(3605,3612) = 1860180
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 3605 and 3612. First we will calculate the prime factors of 3605 and 3612.
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 3612
2 | 3612 |
2 | 1806 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 3612 are 2, 3, 7,43. Prime factorization of 3612 in exponential form is:
3612 = 22×31×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 3605 and 3612.
LCM(3605,3612) = 22×31×51×71×431×1031
LCM(3605,3612) = 1860180
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 3612
List of positive integer factors of 3612 that divides 3612 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3605 and 3612, than apply into the LCM equation.
GCF(3605,3612) = 7
LCM(3605,3612) = ( 3605 × 3612) / 7
LCM(3605,3612) = 13021260 / 7
LCM(3605,3612) = 1860180
(i) The LCM of 3612 and 3605 is associative
LCM of 3605 and 3612 = LCM of 3612 and 3605
1. What is the LCM of 3605 and 3612?
Answer: LCM of 3605 and 3612 is 1860180.
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 3612?
Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.
4. How to Find the LCM of 3605 and 3612?
Answer:
Least Common Multiple of 3605 and 3612 = 1860180
Step 1: Find the prime factorization of 3605
3605 = 5 x 7 x 103
Step 2: Find the prime factorization of 3612
3612 = 2 x 2 x 3 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1860180 = 2 x 2 x 3 x 5 x 7 x 43 x 103
Step 4: Therefore, the least common multiple of 3605 and 3612 is 1860180.