Least Common Multiple of 3784 and 3788

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 3788 the smallest integer that is 3583448 that is divisible by both numbers.

Least Common Multiple (LCM) of 3784 and 3788 is 3583448.

LCM(3784,3788) = 3583448

LCM of 3784 and 3788

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

LCM of:
and

Least Common Multiple of 3784 and 3788

LCM of 3784 and 3788 is 3583448

Least common multiple can be found by multiplying the highest exponent prime factors of 3784 and 3788. First we will calculate the prime factors of 3784 and 3788.

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 3788


2 3788
2 1894
947 947
1

Prime factors of 3788 are 2,947. Prime factorization of 3788 in exponential form is:

3788 = 22×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 3784 and 3788.

LCM(3784,3788) = 23×111×431×9471
LCM(3784,3788) = 3583448

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 3788

List of positive integer factors of 3788 that divides 3788 without a remainder.

1, 2, 4, 947, 1894, 3788

Least Common Multiple of 3784 and 3788 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 3788, than apply into the LCM equation.

GCF(3784,3788) = 4
LCM(3784,3788) = ( 3784 × 3788) / 4
LCM(3784,3788) = 14333792 / 4
LCM(3784,3788) = 3583448

Properties of LCM 3784 and 3788

(i) The LCM of 3788 and 3784 is associative

LCM of 3784 and 3788 = LCM of 3788 and 3784

Related Least Common Multiples of 3784

Related Least Common Multiples of 3788

Frequently Asked Questions on LCM of 3784 and 3788

1. What is the LCM of 3784 and 3788?

Answer: LCM of 3784 and 3788 is 3583448.

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 3788?

Answer: Factors of 3788 are 1, 2, 4, 947, 1894, 3788. There are 6 integers that are factors of 3788. The greatest factor of 3788 is 3788.

4. How to Find the LCM of 3784 and 3788?

Answer:

Least Common Multiple of 3784 and 3788 = 3583448

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 3788

3788 = 2 x 2 x 947

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

LCM = 3583448 = 2 x 2 x 2 x 11 x 43 x 947

Step 4: Therefore, the least common multiple of 3784 and 3788 is 3583448.