Least Common Multiple of 3784 and 3790

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 3790 the smallest integer that is 7170680 that is divisible by both numbers.

Least Common Multiple (LCM) of 3784 and 3790 is 7170680.

LCM(3784,3790) = 7170680

LCM of 3784 and 3790

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

LCM of:
and

Least Common Multiple of 3784 and 3790

LCM of 3784 and 3790 is 7170680

Least common multiple can be found by multiplying the highest exponent prime factors of 3784 and 3790. First we will calculate the prime factors of 3784 and 3790.

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 3790


2 3790
5 1895
379 379
1

Prime factors of 3790 are 2, 5,379. Prime factorization of 3790 in exponential form is:

3790 = 21×51×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 3784 and 3790.

LCM(3784,3790) = 23×51×111×431×3791
LCM(3784,3790) = 7170680

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 3790

List of positive integer factors of 3790 that divides 3790 without a remainder.

1, 2, 5, 10, 379, 758, 1895, 3790

Least Common Multiple of 3784 and 3790 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 3790, than apply into the LCM equation.

GCF(3784,3790) = 2
LCM(3784,3790) = ( 3784 × 3790) / 2
LCM(3784,3790) = 14341360 / 2
LCM(3784,3790) = 7170680

Properties of LCM 3784 and 3790

(i) The LCM of 3790 and 3784 is associative

LCM of 3784 and 3790 = LCM of 3790 and 3784

Related Least Common Multiples of 3784

Related Least Common Multiples of 3790

Frequently Asked Questions on LCM of 3784 and 3790

1. What is the LCM of 3784 and 3790?

Answer: LCM of 3784 and 3790 is 7170680.

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 3790?

Answer: Factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790. There are 8 integers that are factors of 3790. The greatest factor of 3790 is 3790.

4. How to Find the LCM of 3784 and 3790?

Answer:

Least Common Multiple of 3784 and 3790 = 7170680

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 3790

3790 = 2 x 5 x 379

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

LCM = 7170680 = 2 x 2 x 2 x 5 x 11 x 43 x 379

Step 4: Therefore, the least common multiple of 3784 and 3790 is 7170680.