Least Common Multiple of 3691 and 3695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3691 and 3695 the smallest integer that is 13638245 that is divisible by both numbers.

Least Common Multiple (LCM) of 3691 and 3695 is 13638245.

LCM(3691,3695) = 13638245

LCM of 3691 and 3695

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

LCM of:
and

Least Common Multiple of 3691 and 3695

LCM of 3691 and 3695 is 13638245

Least common multiple can be found by multiplying the highest exponent prime factors of 3691 and 3695. First we will calculate the prime factors of 3691 and 3695.

Prime Factorization of 3691


3691 3691
1

Prime factors of 3691 are 3691. Prime factorization of 3691 in exponential form is:

3691 = 36911

Prime Factorization of 3695


5 3695
739 739
1

Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:

3695 = 51×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 3691 and 3695.

LCM(3691,3695) = 51×7391×36911
LCM(3691,3695) = 13638245

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1, 3691

Factors of 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1, 5, 739, 3695

Least Common Multiple of 3691 and 3695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3691 and 3695, than apply into the LCM equation.

GCF(3691,3695) = 1
LCM(3691,3695) = ( 3691 × 3695) / 1
LCM(3691,3695) = 13638245 / 1
LCM(3691,3695) = 13638245

Properties of LCM 3691 and 3695

(i) The LCM of 3695 and 3691 is associative

LCM of 3691 and 3695 = LCM of 3695 and 3691

Related Least Common Multiples of 3691

Related Least Common Multiples of 3695

Frequently Asked Questions on LCM of 3691 and 3695

1. What is the LCM of 3691 and 3695?

Answer: LCM of 3691 and 3695 is 13638245.

2. What are the Factors of 3691?

Answer: Factors of 3691 are 1, 3691. There are 2 integers that are factors of 3691. The greatest factor of 3691 is 3691.

3. What are the Factors of 3695?

Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.

4. How to Find the LCM of 3691 and 3695?

Answer:

Least Common Multiple of 3691 and 3695 = 13638245

Step 1: Find the prime factorization of 3691

3691 = 3691

Step 2: Find the prime factorization of 3695

3695 = 5 x 739

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

LCM = 13638245 = 5 x 739 x 3691

Step 4: Therefore, the least common multiple of 3691 and 3695 is 13638245.