Least Common Multiple of 3786 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 3786 and 3794 the smallest integer that is 7182042 that is divisible by both numbers.

Least Common Multiple (LCM) of 3786 and 3794 is 7182042.

LCM(3786,3794) = 7182042

LCM of 3786 and 3794

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

LCM of:
and

Least Common Multiple of 3786 and 3794

LCM of 3786 and 3794 is 7182042

Least common multiple can be found by multiplying the highest exponent prime factors of 3786 and 3794. First we will calculate the prime factors of 3786 and 3794.

Prime Factorization of 3786


2 3786
3 1893
631 631
1

Prime factors of 3786 are 2, 3,631. Prime factorization of 3786 in exponential form is:

3786 = 21×31×6311

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 3786 and 3794.

LCM(3786,3794) = 21×31×71×2711×6311
LCM(3786,3794) = 7182042

Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1, 2, 3, 6, 631, 1262, 1893, 3786

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 3786 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 3786 and 3794, than apply into the LCM equation.

GCF(3786,3794) = 2
LCM(3786,3794) = ( 3786 × 3794) / 2
LCM(3786,3794) = 14364084 / 2
LCM(3786,3794) = 7182042

Properties of LCM 3786 and 3794

(i) The LCM of 3794 and 3786 is associative

LCM of 3786 and 3794 = LCM of 3794 and 3786

Related Least Common Multiples of 3786

Related Least Common Multiples of 3794

Frequently Asked Questions on LCM of 3786 and 3794

1. What is the LCM of 3786 and 3794?

Answer: LCM of 3786 and 3794 is 7182042.

2. What are the Factors of 3786?

Answer: Factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786. There are 8 integers that are factors of 3786. The greatest factor of 3786 is 3786.

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 3786 and 3794?

Answer:

Least Common Multiple of 3786 and 3794 = 7182042

Step 1: Find the prime factorization of 3786

3786 = 2 x 3 x 631

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 = 7182042 = 2 x 3 x 7 x 271 x 631

Step 4: Therefore, the least common multiple of 3786 and 3794 is 7182042.