Least Common Multiple of 3684 and 3691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3684 and 3691 the smallest integer that is 13597644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3684 and 3691 is 13597644.

LCM(3684,3691) = 13597644

LCM of 3684 and 3691

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

LCM of:
and

Least Common Multiple of 3684 and 3691

LCM of 3684 and 3691 is 13597644

Least common multiple can be found by multiplying the highest exponent prime factors of 3684 and 3691. First we will calculate the prime factors of 3684 and 3691.

Prime Factorization of 3684


2 3684
2 1842
3 921
307 307
1

Prime factors of 3684 are 2, 3,307. Prime factorization of 3684 in exponential form is:

3684 = 22×31×3071

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 3684 and 3691.

LCM(3684,3691) = 22×31×3071×36911
LCM(3684,3691) = 13597644

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1, 3691

Least Common Multiple of 3684 and 3691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3684 and 3691, than apply into the LCM equation.

GCF(3684,3691) = 1
LCM(3684,3691) = ( 3684 × 3691) / 1
LCM(3684,3691) = 13597644 / 1
LCM(3684,3691) = 13597644

Properties of LCM 3684 and 3691

(i) The LCM of 3691 and 3684 is associative

LCM of 3684 and 3691 = LCM of 3691 and 3684

Related Least Common Multiples of 3684

Related Least Common Multiples of 3691

Frequently Asked Questions on LCM of 3684 and 3691

1. What is the LCM of 3684 and 3691?

Answer: LCM of 3684 and 3691 is 13597644.

2. What are the Factors of 3684?

Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.

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 3684 and 3691?

Answer:

Least Common Multiple of 3684 and 3691 = 13597644

Step 1: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

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 = 13597644 = 2 x 2 x 3 x 307 x 3691

Step 4: Therefore, the least common multiple of 3684 and 3691 is 13597644.