Least Common Multiple of 3788 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 3788 and 3795 the smallest integer that is 14375460 that is divisible by both numbers.

Least Common Multiple (LCM) of 3788 and 3795 is 14375460.

LCM(3788,3795) = 14375460

LCM of 3788 and 3795

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

LCM of:
and

Least Common Multiple of 3788 and 3795

LCM of 3788 and 3795 is 14375460

Least common multiple can be found by multiplying the highest exponent prime factors of 3788 and 3795. First we will calculate the prime factors of 3788 and 3795.

Prime Factorization of 3788


2 3788
2 1894
947 947
1

Prime factors of 3788 are 2,947. Prime factorization of 3788 in exponential form is:

3788 = 22×9471

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 3788 and 3795.

LCM(3788,3795) = 22×31×51×111×231×9471
LCM(3788,3795) = 14375460

Factors of 3788

List of positive integer factors of 3788 that divides 3788 without a remainder.

1, 2, 4, 947, 1894, 3788

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 3788 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 3788 and 3795, than apply into the LCM equation.

GCF(3788,3795) = 1
LCM(3788,3795) = ( 3788 × 3795) / 1
LCM(3788,3795) = 14375460 / 1
LCM(3788,3795) = 14375460

Properties of LCM 3788 and 3795

(i) The LCM of 3795 and 3788 is associative

LCM of 3788 and 3795 = LCM of 3795 and 3788

Related Least Common Multiples of 3788

Related Least Common Multiples of 3795

Frequently Asked Questions on LCM of 3788 and 3795

1. What is the LCM of 3788 and 3795?

Answer: LCM of 3788 and 3795 is 14375460.

2. What are the Factors of 3788?

Answer: Factors of 3788 are 1, 2, 4, 947, 1894, 3788. There are 6 integers that are factors of 3788. The greatest factor of 3788 is 3788.

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 3788 and 3795?

Answer:

Least Common Multiple of 3788 and 3795 = 14375460

Step 1: Find the prime factorization of 3788

3788 = 2 x 2 x 947

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 = 14375460 = 2 x 2 x 3 x 5 x 11 x 23 x 947

Step 4: Therefore, the least common multiple of 3788 and 3795 is 14375460.