Least Common Multiple of 3689 and 3694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3689 and 3694 the smallest integer that is 13627166 that is divisible by both numbers.

Least Common Multiple (LCM) of 3689 and 3694 is 13627166.

LCM(3689,3694) = 13627166

LCM of 3689 and 3694

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

LCM of:
and

Least Common Multiple of 3689 and 3694

LCM of 3689 and 3694 is 13627166

Least common multiple can be found by multiplying the highest exponent prime factors of 3689 and 3694. First we will calculate the prime factors of 3689 and 3694.

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

Prime Factorization of 3694


2 3694
1847 1847
1

Prime factors of 3694 are 2,1847. Prime factorization of 3694 in exponential form is:

3694 = 21×18471

Now multiplying the highest exponent prime factors to calculate the LCM of 3689 and 3694.

LCM(3689,3694) = 21×71×171×311×18471
LCM(3689,3694) = 13627166

Factors of 3689

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

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

Factors of 3694

List of positive integer factors of 3694 that divides 3694 without a remainder.

1, 2, 1847, 3694

Least Common Multiple of 3689 and 3694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3689 and 3694, than apply into the LCM equation.

GCF(3689,3694) = 1
LCM(3689,3694) = ( 3689 × 3694) / 1
LCM(3689,3694) = 13627166 / 1
LCM(3689,3694) = 13627166

Properties of LCM 3689 and 3694

(i) The LCM of 3694 and 3689 is associative

LCM of 3689 and 3694 = LCM of 3694 and 3689

Related Least Common Multiples of 3689

Related Least Common Multiples of 3694

Frequently Asked Questions on LCM of 3689 and 3694

1. What is the LCM of 3689 and 3694?

Answer: LCM of 3689 and 3694 is 13627166.

2. 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.

3. What are the Factors of 3694?

Answer: Factors of 3694 are 1, 2, 1847, 3694. There are 4 integers that are factors of 3694. The greatest factor of 3694 is 3694.

4. How to Find the LCM of 3689 and 3694?

Answer:

Least Common Multiple of 3689 and 3694 = 13627166

Step 1: Find the prime factorization of 3689

3689 = 7 x 17 x 31

Step 2: Find the prime factorization of 3694

3694 = 2 x 1847

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

LCM = 13627166 = 2 x 7 x 17 x 31 x 1847

Step 4: Therefore, the least common multiple of 3689 and 3694 is 13627166.