Least Common Multiple of 3787 and 3795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 3787 and 3795 the smallest integer that is 14371665 that is divisible by both numbers.

Least Common Multiple (LCM) of 3787 and 3795 is 14371665.

LCM(3787,3795) = 14371665

LCM of 3787 and 3795

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

LCM of:
and

Least Common Multiple of 3787 and 3795

LCM of 3787 and 3795 is 14371665

Least common multiple can be found by multiplying the highest exponent prime factors of 3787 and 3795. First we will calculate the prime factors of 3787 and 3795.

Prime Factorization of 3787


7 3787
541 541
1

Prime factors of 3787 are 7,541. Prime factorization of 3787 in exponential form is:

3787 = 71×5411

Prime Factorization of 3795


3 3795
5 1265
11 253
23 23
1

Prime factors of 3795 are 3, 5, 11,23. Prime factorization of 3795 in exponential form is:

3795 = 31×51×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3787 and 3795.

LCM(3787,3795) = 31×51×71×111×231×5411
LCM(3787,3795) = 14371665

Factors of 3787

List of positive integer factors of 3787 that divides 3787 without a remainder.

1, 7, 541, 3787

Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795

Least Common Multiple of 3787 and 3795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3787 and 3795, than apply into the LCM equation.

GCF(3787,3795) = 1
LCM(3787,3795) = ( 3787 × 3795) / 1
LCM(3787,3795) = 14371665 / 1
LCM(3787,3795) = 14371665

Properties of LCM 3787 and 3795

(i) The LCM of 3795 and 3787 is associative

LCM of 3787 and 3795 = LCM of 3795 and 3787

Frequently Asked Questions on LCM of 3787 and 3795

1. What is the LCM of 3787 and 3795?

Answer: LCM of 3787 and 3795 is 14371665.

2. What are the Factors of 3787?

Answer: Factors of 3787 are 1, 7, 541, 3787. There are 4 integers that are factors of 3787. The greatest factor of 3787 is 3787.

3. What are the Factors of 3795?

Answer: Factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795. There are 16 integers that are factors of 3795. The greatest factor of 3795 is 3795.

4. How to Find the LCM of 3787 and 3795?

Answer:

Least Common Multiple of 3787 and 3795 = 14371665

Step 1: Find the prime factorization of 3787

3787 = 7 x 541

Step 2: Find the prime factorization of 3795

3795 = 3 x 5 x 11 x 23

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

LCM = 14371665 = 3 x 5 x 7 x 11 x 23 x 541

Step 4: Therefore, the least common multiple of 3787 and 3795 is 14371665.