Least Common Multiple of 3784 and 3789

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 3789 the smallest integer that is 14337576 that is divisible by both numbers.

Least Common Multiple (LCM) of 3784 and 3789 is 14337576.

LCM(3784,3789) = 14337576

LCM of 3784 and 3789

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

LCM of:
and

Least Common Multiple of 3784 and 3789

LCM of 3784 and 3789 is 14337576

Least common multiple can be found by multiplying the highest exponent prime factors of 3784 and 3789. First we will calculate the prime factors of 3784 and 3789.

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 3789


3 3789
3 1263
421 421
1

Prime factors of 3789 are 3,421. Prime factorization of 3789 in exponential form is:

3789 = 32×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 3784 and 3789.

LCM(3784,3789) = 23×32×111×431×4211
LCM(3784,3789) = 14337576

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 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1, 3, 9, 421, 1263, 3789

Least Common Multiple of 3784 and 3789 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 3789, than apply into the LCM equation.

GCF(3784,3789) = 1
LCM(3784,3789) = ( 3784 × 3789) / 1
LCM(3784,3789) = 14337576 / 1
LCM(3784,3789) = 14337576

Properties of LCM 3784 and 3789

(i) The LCM of 3789 and 3784 is associative

LCM of 3784 and 3789 = LCM of 3789 and 3784

Related Least Common Multiples of 3784

Related Least Common Multiples of 3789

Frequently Asked Questions on LCM of 3784 and 3789

1. What is the LCM of 3784 and 3789?

Answer: LCM of 3784 and 3789 is 14337576.

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 3789?

Answer: Factors of 3789 are 1, 3, 9, 421, 1263, 3789. There are 6 integers that are factors of 3789. The greatest factor of 3789 is 3789.

4. How to Find the LCM of 3784 and 3789?

Answer:

Least Common Multiple of 3784 and 3789 = 14337576

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 3789

3789 = 3 x 3 x 421

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

LCM = 14337576 = 2 x 2 x 2 x 3 x 3 x 11 x 43 x 421

Step 4: Therefore, the least common multiple of 3784 and 3789 is 14337576.