Least Common Multiple of 3693 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 3693 and 3701 the smallest integer that is 13667793 that is divisible by both numbers.

Least Common Multiple (LCM) of 3693 and 3701 is 13667793.

LCM(3693,3701) = 13667793

LCM of 3693 and 3701

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

LCM of:
and

Least Common Multiple of 3693 and 3701

LCM of 3693 and 3701 is 13667793

Least common multiple can be found by multiplying the highest exponent prime factors of 3693 and 3701. First we will calculate the prime factors of 3693 and 3701.

Prime Factorization of 3693


3 3693
1231 1231
1

Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:

3693 = 31×12311

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 3693 and 3701.

LCM(3693,3701) = 31×12311×37011
LCM(3693,3701) = 13667793

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1, 3, 1231, 3693

Factors of 3701

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

1, 3701

Least Common Multiple of 3693 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 3693 and 3701, than apply into the LCM equation.

GCF(3693,3701) = 1
LCM(3693,3701) = ( 3693 × 3701) / 1
LCM(3693,3701) = 13667793 / 1
LCM(3693,3701) = 13667793

Properties of LCM 3693 and 3701

(i) The LCM of 3701 and 3693 is associative

LCM of 3693 and 3701 = LCM of 3701 and 3693

Related Least Common Multiples of 3693

Related Least Common Multiples of 3701

Frequently Asked Questions on LCM of 3693 and 3701

1. What is the LCM of 3693 and 3701?

Answer: LCM of 3693 and 3701 is 13667793.

2. What are the Factors of 3693?

Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.

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 3693 and 3701?

Answer:

Least Common Multiple of 3693 and 3701 = 13667793

Step 1: Find the prime factorization of 3693

3693 = 3 x 1231

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 = 13667793 = 3 x 1231 x 3701

Step 4: Therefore, the least common multiple of 3693 and 3701 is 13667793.