Least Common Multiple of 3789 and 3794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3789 and 3794 the smallest integer that is 14375466 that is divisible by both numbers.

Least Common Multiple (LCM) of 3789 and 3794 is 14375466.

LCM(3789,3794) = 14375466

LCM of 3789 and 3794

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

LCM of:
and

Least Common Multiple of 3789 and 3794

LCM of 3789 and 3794 is 14375466

Least common multiple can be found by multiplying the highest exponent prime factors of 3789 and 3794. First we will calculate the prime factors of 3789 and 3794.

Prime Factorization of 3789


3 3789
3 1263
421 421
1

Prime factors of 3789 are 3,421. Prime factorization of 3789 in exponential form is:

3789 = 32×4211

Prime Factorization of 3794


2 3794
7 1897
271 271
1

Prime factors of 3794 are 2, 7,271. Prime factorization of 3794 in exponential form is:

3794 = 21×71×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 3789 and 3794.

LCM(3789,3794) = 21×32×71×2711×4211
LCM(3789,3794) = 14375466

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1, 3, 9, 421, 1263, 3789

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1, 2, 7, 14, 271, 542, 1897, 3794

Least Common Multiple of 3789 and 3794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3789 and 3794, than apply into the LCM equation.

GCF(3789,3794) = 1
LCM(3789,3794) = ( 3789 × 3794) / 1
LCM(3789,3794) = 14375466 / 1
LCM(3789,3794) = 14375466

Properties of LCM 3789 and 3794

(i) The LCM of 3794 and 3789 is associative

LCM of 3789 and 3794 = LCM of 3794 and 3789

Related Least Common Multiples of 3789

Related Least Common Multiples of 3794

Frequently Asked Questions on LCM of 3789 and 3794

1. What is the LCM of 3789 and 3794?

Answer: LCM of 3789 and 3794 is 14375466.

2. What are the Factors of 3789?

Answer: Factors of 3789 are 1, 3, 9, 421, 1263, 3789. There are 6 integers that are factors of 3789. The greatest factor of 3789 is 3789.

3. What are the Factors of 3794?

Answer: Factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794. There are 8 integers that are factors of 3794. The greatest factor of 3794 is 3794.

4. How to Find the LCM of 3789 and 3794?

Answer:

Least Common Multiple of 3789 and 3794 = 14375466

Step 1: Find the prime factorization of 3789

3789 = 3 x 3 x 421

Step 2: Find the prime factorization of 3794

3794 = 2 x 7 x 271

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

LCM = 14375466 = 2 x 3 x 3 x 7 x 271 x 421

Step 4: Therefore, the least common multiple of 3789 and 3794 is 14375466.