Least Common Multiple of 3684 and 3689

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 3689 the smallest integer that is 13590276 that is divisible by both numbers.

Least Common Multiple (LCM) of 3684 and 3689 is 13590276.

LCM(3684,3689) = 13590276

LCM of 3684 and 3689

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

LCM of:
and

Least Common Multiple of 3684 and 3689

LCM of 3684 and 3689 is 13590276

Least common multiple can be found by multiplying the highest exponent prime factors of 3684 and 3689. First we will calculate the prime factors of 3684 and 3689.

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 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 3684 and 3689.

LCM(3684,3689) = 22×31×71×171×311×3071
LCM(3684,3689) = 13590276

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 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1, 7, 17, 31, 119, 217, 527, 3689

Least Common Multiple of 3684 and 3689 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 3689, than apply into the LCM equation.

GCF(3684,3689) = 1
LCM(3684,3689) = ( 3684 × 3689) / 1
LCM(3684,3689) = 13590276 / 1
LCM(3684,3689) = 13590276

Properties of LCM 3684 and 3689

(i) The LCM of 3689 and 3684 is associative

LCM of 3684 and 3689 = LCM of 3689 and 3684

Related Least Common Multiples of 3684

Related Least Common Multiples of 3689

Frequently Asked Questions on LCM of 3684 and 3689

1. What is the LCM of 3684 and 3689?

Answer: LCM of 3684 and 3689 is 13590276.

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 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 3684 and 3689?

Answer:

Least Common Multiple of 3684 and 3689 = 13590276

Step 1: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

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 = 13590276 = 2 x 2 x 3 x 7 x 17 x 31 x 307

Step 4: Therefore, the least common multiple of 3684 and 3689 is 13590276.