Least Common Multiple of 3681 and 3686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3681 and 3686 the smallest integer that is 13568166 that is divisible by both numbers.

Least Common Multiple (LCM) of 3681 and 3686 is 13568166.

LCM(3681,3686) = 13568166

LCM of 3681 and 3686

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3681 and 3686

LCM of 3681 and 3686 is 13568166

Least common multiple can be found by multiplying the highest exponent prime factors of 3681 and 3686. First we will calculate the prime factors of 3681 and 3686.

Prime Factorization of 3681


3 3681
3 1227
409 409
1

Prime factors of 3681 are 3,409. Prime factorization of 3681 in exponential form is:

3681 = 32×4091

Prime Factorization of 3686


2 3686
19 1843
97 97
1

Prime factors of 3686 are 2, 19,97. Prime factorization of 3686 in exponential form is:

3686 = 21×191×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3681 and 3686.

LCM(3681,3686) = 21×32×191×971×4091
LCM(3681,3686) = 13568166

Factors of 3681

List of positive integer factors of 3681 that divides 3681 without a remainder.

1, 3, 9, 409, 1227, 3681

Factors of 3686

List of positive integer factors of 3686 that divides 3686 without a remainder.

1, 2, 19, 38, 97, 194, 1843, 3686

Least Common Multiple of 3681 and 3686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3681 and 3686, than apply into the LCM equation.

GCF(3681,3686) = 1
LCM(3681,3686) = ( 3681 × 3686) / 1
LCM(3681,3686) = 13568166 / 1
LCM(3681,3686) = 13568166

Properties of LCM 3681 and 3686

(i) The LCM of 3686 and 3681 is associative

LCM of 3681 and 3686 = LCM of 3686 and 3681

Related Least Common Multiples of 3681

Related Least Common Multiples of 3686

Frequently Asked Questions on LCM of 3681 and 3686

1. What is the LCM of 3681 and 3686?

Answer: LCM of 3681 and 3686 is 13568166.

2. What are the Factors of 3681?

Answer: Factors of 3681 are 1, 3, 9, 409, 1227, 3681. There are 6 integers that are factors of 3681. The greatest factor of 3681 is 3681.

3. What are the Factors of 3686?

Answer: Factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686. There are 8 integers that are factors of 3686. The greatest factor of 3686 is 3686.

4. How to Find the LCM of 3681 and 3686?

Answer:

Least Common Multiple of 3681 and 3686 = 13568166

Step 1: Find the prime factorization of 3681

3681 = 3 x 3 x 409

Step 2: Find the prime factorization of 3686

3686 = 2 x 19 x 97

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13568166 = 2 x 3 x 3 x 19 x 97 x 409

Step 4: Therefore, the least common multiple of 3681 and 3686 is 13568166.