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 3691 the smallest integer that is 13601335 that is divisible by both numbers.
Least Common Multiple (LCM) of 3685 and 3691 is 13601335.
LCM(3685,3691) = 13601335
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 3691. First we will calculate the prime factors of 3685 and 3691.
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 3691
3691 | 3691 |
1 |
Prime factors of 3691 are 3691. Prime factorization of 3691 in exponential form is:
3691 = 36911
Now multiplying the highest exponent prime factors to calculate the LCM of 3685 and 3691.
LCM(3685,3691) = 51×111×671×36911
LCM(3685,3691) = 13601335
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 3691
List of positive integer factors of 3691 that divides 3691 without a remainder.
1, 3691
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3685 and 3691, than apply into the LCM equation.
GCF(3685,3691) = 1
LCM(3685,3691) = ( 3685 × 3691) / 1
LCM(3685,3691) = 13601335 / 1
LCM(3685,3691) = 13601335
(i) The LCM of 3691 and 3685 is associative
LCM of 3685 and 3691 = LCM of 3691 and 3685
1. What is the LCM of 3685 and 3691?
Answer: LCM of 3685 and 3691 is 13601335.
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 3691?
Answer: Factors of 3691 are 1, 3691. There are 2 integers that are factors of 3691. The greatest factor of 3691 is 3691.
4. How to Find the LCM of 3685 and 3691?
Answer:
Least Common Multiple of 3685 and 3691 = 13601335
Step 1: Find the prime factorization of 3685
3685 = 5 x 11 x 67
Step 2: Find the prime factorization of 3691
3691 = 3691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13601335 = 5 x 11 x 67 x 3691
Step 4: Therefore, the least common multiple of 3685 and 3691 is 13601335.