Least Common Multiple of 3779 and 3784

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 3784 the smallest integer that is 14299736 that is divisible by both numbers.

Least Common Multiple (LCM) of 3779 and 3784 is 14299736.

LCM(3779,3784) = 14299736

LCM of 3779 and 3784

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

LCM of:
and

Least Common Multiple of 3779 and 3784

LCM of 3779 and 3784 is 14299736

Least common multiple can be found by multiplying the highest exponent prime factors of 3779 and 3784. First we will calculate the prime factors of 3779 and 3784.

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 3784


2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 3784 are 2, 11,43. Prime factorization of 3784 in exponential form is:

3784 = 23×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3779 and 3784.

LCM(3779,3784) = 23×111×431×37791
LCM(3779,3784) = 14299736

Factors of 3779

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

1, 3779

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

Least Common Multiple of 3779 and 3784 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 3784, than apply into the LCM equation.

GCF(3779,3784) = 1
LCM(3779,3784) = ( 3779 × 3784) / 1
LCM(3779,3784) = 14299736 / 1
LCM(3779,3784) = 14299736

Properties of LCM 3779 and 3784

(i) The LCM of 3784 and 3779 is associative

LCM of 3779 and 3784 = LCM of 3784 and 3779

Related Least Common Multiples of 3779

Related Least Common Multiples of 3784

Frequently Asked Questions on LCM of 3779 and 3784

1. What is the LCM of 3779 and 3784?

Answer: LCM of 3779 and 3784 is 14299736.

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 3784?

Answer: Factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784. There are 16 integers that are factors of 3784. The greatest factor of 3784 is 3784.

4. How to Find the LCM of 3779 and 3784?

Answer:

Least Common Multiple of 3779 and 3784 = 14299736

Step 1: Find the prime factorization of 3779

3779 = 3779

Step 2: Find the prime factorization of 3784

3784 = 2 x 2 x 2 x 11 x 43

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

LCM = 14299736 = 2 x 2 x 2 x 11 x 43 x 3779

Step 4: Therefore, the least common multiple of 3779 and 3784 is 14299736.