Least Common Multiple of 3774 and 3779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3774 and 3779 the smallest integer that is 14261946 that is divisible by both numbers.

Least Common Multiple (LCM) of 3774 and 3779 is 14261946.

LCM(3774,3779) = 14261946

LCM of 3774 and 3779

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

LCM of:
and

Least Common Multiple of 3774 and 3779

LCM of 3774 and 3779 is 14261946

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3779. First we will calculate the prime factors of 3774 and 3779.

Prime Factorization of 3774


2 3774
3 1887
17 629
37 37
1

Prime factors of 3774 are 2, 3, 17,37. Prime factorization of 3774 in exponential form is:

3774 = 21×31×171×371

Prime Factorization of 3779


3779 3779
1

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

3779 = 37791

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3779.

LCM(3774,3779) = 21×31×171×371×37791
LCM(3774,3779) = 14261946

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774

Factors of 3779

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

1, 3779

Least Common Multiple of 3774 and 3779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3774 and 3779, than apply into the LCM equation.

GCF(3774,3779) = 1
LCM(3774,3779) = ( 3774 × 3779) / 1
LCM(3774,3779) = 14261946 / 1
LCM(3774,3779) = 14261946

Properties of LCM 3774 and 3779

(i) The LCM of 3779 and 3774 is associative

LCM of 3774 and 3779 = LCM of 3779 and 3774

Related Least Common Multiples of 3774

Related Least Common Multiples of 3779

Frequently Asked Questions on LCM of 3774 and 3779

1. What is the LCM of 3774 and 3779?

Answer: LCM of 3774 and 3779 is 14261946.

2. What are the Factors of 3774?

Answer: Factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774. There are 16 integers that are factors of 3774. The greatest factor of 3774 is 3774.

3. 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.

4. How to Find the LCM of 3774 and 3779?

Answer:

Least Common Multiple of 3774 and 3779 = 14261946

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3779

3779 = 3779

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

LCM = 14261946 = 2 x 3 x 17 x 37 x 3779

Step 4: Therefore, the least common multiple of 3774 and 3779 is 14261946.