Least Common Multiple of 3779 and 3786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3779 and 3786 the smallest integer that is 14307294 that is divisible by both numbers.

Least Common Multiple (LCM) of 3779 and 3786 is 14307294.

LCM(3779,3786) = 14307294

LCM of 3779 and 3786

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

LCM of:
and

Least Common Multiple of 3779 and 3786

LCM of 3779 and 3786 is 14307294

Least common multiple can be found by multiplying the highest exponent prime factors of 3779 and 3786. First we will calculate the prime factors of 3779 and 3786.

Prime Factorization of 3779


3779 3779
1

Prime factors of 3779 are 3779. Prime factorization of 3779 in exponential form is:

3779 = 37791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3779 and 3786.

LCM(3779,3786) = 21×31×6311×37791
LCM(3779,3786) = 14307294

Factors of 3779

List of positive integer factors of 3779 that divides 3779 without a remainder.

1, 3779

Factors of 3786

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

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

Least Common Multiple of 3779 and 3786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3779 and 3786, than apply into the LCM equation.

GCF(3779,3786) = 1
LCM(3779,3786) = ( 3779 × 3786) / 1
LCM(3779,3786) = 14307294 / 1
LCM(3779,3786) = 14307294

Properties of LCM 3779 and 3786

(i) The LCM of 3786 and 3779 is associative

LCM of 3779 and 3786 = LCM of 3786 and 3779

Related Least Common Multiples of 3779

Related Least Common Multiples of 3786

Frequently Asked Questions on LCM of 3779 and 3786

1. What is the LCM of 3779 and 3786?

Answer: LCM of 3779 and 3786 is 14307294.

2. What are the Factors of 3779?

Answer: Factors of 3779 are 1, 3779. There are 2 integers that are factors of 3779. The greatest factor of 3779 is 3779.

3. 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.

4. How to Find the LCM of 3779 and 3786?

Answer:

Least Common Multiple of 3779 and 3786 = 14307294

Step 1: Find the prime factorization of 3779

3779 = 3779

Step 2: Find the prime factorization of 3786

3786 = 2 x 3 x 631

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

LCM = 14307294 = 2 x 3 x 631 x 3779

Step 4: Therefore, the least common multiple of 3779 and 3786 is 14307294.