Least Common Multiple of 3697 and 3701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3697 and 3701 the smallest integer that is 13682597 that is divisible by both numbers.

Least Common Multiple (LCM) of 3697 and 3701 is 13682597.

LCM(3697,3701) = 13682597

LCM of 3697 and 3701

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

LCM of:
and

Least Common Multiple of 3697 and 3701

LCM of 3697 and 3701 is 13682597

Least common multiple can be found by multiplying the highest exponent prime factors of 3697 and 3701. First we will calculate the prime factors of 3697 and 3701.

Prime Factorization of 3697


3697 3697
1

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

3697 = 36971

Prime Factorization of 3701


3701 3701
1

Prime factors of 3701 are 3701. Prime factorization of 3701 in exponential form is:

3701 = 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 3697 and 3701.

LCM(3697,3701) = 36971×37011
LCM(3697,3701) = 13682597

Factors of 3697

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

1, 3697

Factors of 3701

List of positive integer factors of 3701 that divides 3701 without a remainder.

1, 3701

Least Common Multiple of 3697 and 3701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3697 and 3701, than apply into the LCM equation.

GCF(3697,3701) = 1
LCM(3697,3701) = ( 3697 × 3701) / 1
LCM(3697,3701) = 13682597 / 1
LCM(3697,3701) = 13682597

Properties of LCM 3697 and 3701

(i) The LCM of 3701 and 3697 is associative

LCM of 3697 and 3701 = LCM of 3701 and 3697

Related Least Common Multiples of 3697

Related Least Common Multiples of 3701

Frequently Asked Questions on LCM of 3697 and 3701

1. What is the LCM of 3697 and 3701?

Answer: LCM of 3697 and 3701 is 13682597.

2. 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.

3. What are the Factors of 3701?

Answer: Factors of 3701 are 1, 3701. There are 2 integers that are factors of 3701. The greatest factor of 3701 is 3701.

4. How to Find the LCM of 3697 and 3701?

Answer:

Least Common Multiple of 3697 and 3701 = 13682597

Step 1: Find the prime factorization of 3697

3697 = 3697

Step 2: Find the prime factorization of 3701

3701 = 3701

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

LCM = 13682597 = 3697 x 3701

Step 4: Therefore, the least common multiple of 3697 and 3701 is 13682597.