Least Common Multiple of 3784 and 3791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3784 and 3791 the smallest integer that is 14345144 that is divisible by both numbers.

Least Common Multiple (LCM) of 3784 and 3791 is 14345144.

LCM(3784,3791) = 14345144

LCM of 3784 and 3791

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

LCM of:
and

Least Common Multiple of 3784 and 3791

LCM of 3784 and 3791 is 14345144

Least common multiple can be found by multiplying the highest exponent prime factors of 3784 and 3791. First we will calculate the prime factors of 3784 and 3791.

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

Prime Factorization of 3791


17 3791
223 223
1

Prime factors of 3791 are 17,223. Prime factorization of 3791 in exponential form is:

3791 = 171×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 3784 and 3791.

LCM(3784,3791) = 23×111×171×431×2231
LCM(3784,3791) = 14345144

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

Factors of 3791

List of positive integer factors of 3791 that divides 3791 without a remainder.

1, 17, 223, 3791

Least Common Multiple of 3784 and 3791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3784 and 3791, than apply into the LCM equation.

GCF(3784,3791) = 1
LCM(3784,3791) = ( 3784 × 3791) / 1
LCM(3784,3791) = 14345144 / 1
LCM(3784,3791) = 14345144

Properties of LCM 3784 and 3791

(i) The LCM of 3791 and 3784 is associative

LCM of 3784 and 3791 = LCM of 3791 and 3784

Related Least Common Multiples of 3784

Related Least Common Multiples of 3791

Frequently Asked Questions on LCM of 3784 and 3791

1. What is the LCM of 3784 and 3791?

Answer: LCM of 3784 and 3791 is 14345144.

2. 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.

3. What are the Factors of 3791?

Answer: Factors of 3791 are 1, 17, 223, 3791. There are 4 integers that are factors of 3791. The greatest factor of 3791 is 3791.

4. How to Find the LCM of 3784 and 3791?

Answer:

Least Common Multiple of 3784 and 3791 = 14345144

Step 1: Find the prime factorization of 3784

3784 = 2 x 2 x 2 x 11 x 43

Step 2: Find the prime factorization of 3791

3791 = 17 x 223

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

LCM = 14345144 = 2 x 2 x 2 x 11 x 17 x 43 x 223

Step 4: Therefore, the least common multiple of 3784 and 3791 is 14345144.