Least Common Multiple of 3691 and 3696

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 3696 the smallest integer that is 13641936 that is divisible by both numbers.

Least Common Multiple (LCM) of 3691 and 3696 is 13641936.

LCM(3691,3696) = 13641936

LCM of 3691 and 3696

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

LCM of:
and

Least Common Multiple of 3691 and 3696

LCM of 3691 and 3696 is 13641936

Least common multiple can be found by multiplying the highest exponent prime factors of 3691 and 3696. First we will calculate the prime factors of 3691 and 3696.

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 3696


2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 3696 are 2, 3, 7,11. Prime factorization of 3696 in exponential form is:

3696 = 24×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3691 and 3696.

LCM(3691,3696) = 24×31×71×111×36911
LCM(3691,3696) = 13641936

Factors of 3691

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

1, 3691

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696

Least Common Multiple of 3691 and 3696 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 3696, than apply into the LCM equation.

GCF(3691,3696) = 1
LCM(3691,3696) = ( 3691 × 3696) / 1
LCM(3691,3696) = 13641936 / 1
LCM(3691,3696) = 13641936

Properties of LCM 3691 and 3696

(i) The LCM of 3696 and 3691 is associative

LCM of 3691 and 3696 = LCM of 3696 and 3691

Related Least Common Multiples of 3691

Related Least Common Multiples of 3696

Frequently Asked Questions on LCM of 3691 and 3696

1. What is the LCM of 3691 and 3696?

Answer: LCM of 3691 and 3696 is 13641936.

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 3696?

Answer: Factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. There are 40 integers that are factors of 3696. The greatest factor of 3696 is 3696.

4. How to Find the LCM of 3691 and 3696?

Answer:

Least Common Multiple of 3691 and 3696 = 13641936

Step 1: Find the prime factorization of 3691

3691 = 3691

Step 2: Find the prime factorization of 3696

3696 = 2 x 2 x 2 x 2 x 3 x 7 x 11

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

LCM = 13641936 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 3691

Step 4: Therefore, the least common multiple of 3691 and 3696 is 13641936.