Least Common Multiple of 3680 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 3680 and 3686 the smallest integer that is 6782240 that is divisible by both numbers.

Least Common Multiple (LCM) of 3680 and 3686 is 6782240.

LCM(3680,3686) = 6782240

LCM of 3680 and 3686

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

LCM of:
and

Least Common Multiple of 3680 and 3686

LCM of 3680 and 3686 is 6782240

Least common multiple can be found by multiplying the highest exponent prime factors of 3680 and 3686. First we will calculate the prime factors of 3680 and 3686.

Prime Factorization of 3680


2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 3680 are 2, 5,23. Prime factorization of 3680 in exponential form is:

3680 = 25×51×231

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 3680 and 3686.

LCM(3680,3686) = 25×51×191×231×971
LCM(3680,3686) = 6782240

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680

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 3680 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 3680 and 3686, than apply into the LCM equation.

GCF(3680,3686) = 2
LCM(3680,3686) = ( 3680 × 3686) / 2
LCM(3680,3686) = 13564480 / 2
LCM(3680,3686) = 6782240

Properties of LCM 3680 and 3686

(i) The LCM of 3686 and 3680 is associative

LCM of 3680 and 3686 = LCM of 3686 and 3680

Related Least Common Multiples of 3680

Related Least Common Multiples of 3686

Frequently Asked Questions on LCM of 3680 and 3686

1. What is the LCM of 3680 and 3686?

Answer: LCM of 3680 and 3686 is 6782240.

2. What are the Factors of 3680?

Answer: Factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. There are 24 integers that are factors of 3680. The greatest factor of 3680 is 3680.

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 3680 and 3686?

Answer:

Least Common Multiple of 3680 and 3686 = 6782240

Step 1: Find the prime factorization of 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

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 = 6782240 = 2 x 2 x 2 x 2 x 2 x 5 x 19 x 23 x 97

Step 4: Therefore, the least common multiple of 3680 and 3686 is 6782240.