Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3685 and 3689 the smallest integer that is 13593965 that is divisible by both numbers.
Least Common Multiple (LCM) of 3685 and 3689 is 13593965.
LCM(3685,3689) = 13593965
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 3685 and 3689. First we will calculate the prime factors of 3685 and 3689.
Prime Factorization of 3685
5 | 3685 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 3685 are 5, 11,67. Prime factorization of 3685 in exponential form is:
3685 = 51×111×671
Prime Factorization of 3689
7 | 3689 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 3689 are 7, 17,31. Prime factorization of 3689 in exponential form is:
3689 = 71×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3685 and 3689.
LCM(3685,3689) = 51×71×111×171×311×671
LCM(3685,3689) = 13593965
Factors of 3685
List of positive integer factors of 3685 that divides 3685 without a remainder.
1, 5, 11, 55, 67, 335, 737, 3685
Factors of 3689
List of positive integer factors of 3689 that divides 3689 without a remainder.
1, 7, 17, 31, 119, 217, 527, 3689
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3685 and 3689, than apply into the LCM equation.
GCF(3685,3689) = 1
LCM(3685,3689) = ( 3685 × 3689) / 1
LCM(3685,3689) = 13593965 / 1
LCM(3685,3689) = 13593965
(i) The LCM of 3689 and 3685 is associative
LCM of 3685 and 3689 = LCM of 3689 and 3685
1. What is the LCM of 3685 and 3689?
Answer: LCM of 3685 and 3689 is 13593965.
2. What are the Factors of 3685?
Answer: Factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685. There are 8 integers that are factors of 3685. The greatest factor of 3685 is 3685.
3. What are the Factors of 3689?
Answer: Factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689. There are 8 integers that are factors of 3689. The greatest factor of 3689 is 3689.
4. How to Find the LCM of 3685 and 3689?
Answer:
Least Common Multiple of 3685 and 3689 = 13593965
Step 1: Find the prime factorization of 3685
3685 = 5 x 11 x 67
Step 2: Find the prime factorization of 3689
3689 = 7 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13593965 = 5 x 7 x 11 x 17 x 31 x 67
Step 4: Therefore, the least common multiple of 3685 and 3689 is 13593965.