Least Common Multiple of 3689 and 3697

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 3697 the smallest integer that is 13638233 that is divisible by both numbers.

Least Common Multiple (LCM) of 3689 and 3697 is 13638233.

LCM(3689,3697) = 13638233

LCM of 3689 and 3697

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

LCM of:
and

Least Common Multiple of 3689 and 3697

LCM of 3689 and 3697 is 13638233

Least common multiple can be found by multiplying the highest exponent prime factors of 3689 and 3697. First we will calculate the prime factors of 3689 and 3697.

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 3697


3697 3697
1

Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:

3697 = 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 3689 and 3697.

LCM(3689,3697) = 71×171×311×36971
LCM(3689,3697) = 13638233

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 3697

List of positive integer factors of 3697 that divides 3697 without a remainder.

1, 3697

Least Common Multiple of 3689 and 3697 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 3697, than apply into the LCM equation.

GCF(3689,3697) = 1
LCM(3689,3697) = ( 3689 × 3697) / 1
LCM(3689,3697) = 13638233 / 1
LCM(3689,3697) = 13638233

Properties of LCM 3689 and 3697

(i) The LCM of 3697 and 3689 is associative

LCM of 3689 and 3697 = LCM of 3697 and 3689

Related Least Common Multiples of 3689

Related Least Common Multiples of 3697

Frequently Asked Questions on LCM of 3689 and 3697

1. What is the LCM of 3689 and 3697?

Answer: LCM of 3689 and 3697 is 13638233.

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 3697?

Answer: Factors of 3697 are 1, 3697. There are 2 integers that are factors of 3697. The greatest factor of 3697 is 3697.

4. How to Find the LCM of 3689 and 3697?

Answer:

Least Common Multiple of 3689 and 3697 = 13638233

Step 1: Find the prime factorization of 3689

3689 = 7 x 17 x 31

Step 2: Find the prime factorization of 3697

3697 = 3697

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

LCM = 13638233 = 7 x 17 x 31 x 3697

Step 4: Therefore, the least common multiple of 3689 and 3697 is 13638233.