Least Common Multiple of 3690 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 3690 and 3697 the smallest integer that is 13641930 that is divisible by both numbers.

Least Common Multiple (LCM) of 3690 and 3697 is 13641930.

LCM(3690,3697) = 13641930

LCM of 3690 and 3697

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

LCM of:
and

Least Common Multiple of 3690 and 3697

LCM of 3690 and 3697 is 13641930

Least common multiple can be found by multiplying the highest exponent prime factors of 3690 and 3697. First we will calculate the prime factors of 3690 and 3697.

Prime Factorization of 3690


2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 3690 are 2, 3, 5,41. Prime factorization of 3690 in exponential form is:

3690 = 21×32×51×411

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 3690 and 3697.

LCM(3690,3697) = 21×32×51×411×36971
LCM(3690,3697) = 13641930

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690

Factors of 3697

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

1, 3697

Least Common Multiple of 3690 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 3690 and 3697, than apply into the LCM equation.

GCF(3690,3697) = 1
LCM(3690,3697) = ( 3690 × 3697) / 1
LCM(3690,3697) = 13641930 / 1
LCM(3690,3697) = 13641930

Properties of LCM 3690 and 3697

(i) The LCM of 3697 and 3690 is associative

LCM of 3690 and 3697 = LCM of 3697 and 3690

Related Least Common Multiples of 3690

Related Least Common Multiples of 3697

Frequently Asked Questions on LCM of 3690 and 3697

1. What is the LCM of 3690 and 3697?

Answer: LCM of 3690 and 3697 is 13641930.

2. What are the Factors of 3690?

Answer: Factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. There are 24 integers that are factors of 3690. The greatest factor of 3690 is 3690.

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 3690 and 3697?

Answer:

Least Common Multiple of 3690 and 3697 = 13641930

Step 1: Find the prime factorization of 3690

3690 = 2 x 3 x 3 x 5 x 41

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 = 13641930 = 2 x 3 x 3 x 5 x 41 x 3697

Step 4: Therefore, the least common multiple of 3690 and 3697 is 13641930.