Least Common Multiple of 3783 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 3783 and 3784 the smallest integer that is 14314872 that is divisible by both numbers.

Least Common Multiple (LCM) of 3783 and 3784 is 14314872.

LCM(3783,3784) = 14314872

LCM of 3783 and 3784

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

LCM of:
and

Least Common Multiple of 3783 and 3784

LCM of 3783 and 3784 is 14314872

Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3784. First we will calculate the prime factors of 3783 and 3784.

Prime Factorization of 3783


3 3783
13 1261
97 97
1

Prime factors of 3783 are 3, 13,97. Prime factorization of 3783 in exponential form is:

3783 = 31×131×971

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 3783 and 3784.

LCM(3783,3784) = 23×31×111×131×431×971
LCM(3783,3784) = 14314872

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1, 3, 13, 39, 97, 291, 1261, 3783

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 3783 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 3783 and 3784, than apply into the LCM equation.

GCF(3783,3784) = 1
LCM(3783,3784) = ( 3783 × 3784) / 1
LCM(3783,3784) = 14314872 / 1
LCM(3783,3784) = 14314872

Properties of LCM 3783 and 3784

(i) The LCM of 3784 and 3783 is associative

LCM of 3783 and 3784 = LCM of 3784 and 3783

Related Least Common Multiples of 3783

Related Least Common Multiples of 3784

Frequently Asked Questions on LCM of 3783 and 3784

1. What is the LCM of 3783 and 3784?

Answer: LCM of 3783 and 3784 is 14314872.

2. What are the Factors of 3783?

Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.

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 3783 and 3784?

Answer:

Least Common Multiple of 3783 and 3784 = 14314872

Step 1: Find the prime factorization of 3783

3783 = 3 x 13 x 97

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 = 14314872 = 2 x 2 x 2 x 3 x 11 x 13 x 43 x 97

Step 4: Therefore, the least common multiple of 3783 and 3784 is 14314872.