Least Common Multiple of 2784 and 2788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2784 and 2788 the smallest integer that is 1940448 that is divisible by both numbers.

Least Common Multiple (LCM) of 2784 and 2788 is 1940448.

LCM(2784,2788) = 1940448

LCM of 2784 and 2788

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

LCM of:
and

Least Common Multiple of 2784 and 2788

LCM of 2784 and 2788 is 1940448

Least common multiple can be found by multiplying the highest exponent prime factors of 2784 and 2788. First we will calculate the prime factors of 2784 and 2788.

Prime Factorization of 2784


2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 2784 are 2, 3,29. Prime factorization of 2784 in exponential form is:

2784 = 25×31×291

Prime Factorization of 2788


2 2788
2 1394
17 697
41 41
1

Prime factors of 2788 are 2, 17,41. Prime factorization of 2788 in exponential form is:

2788 = 22×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2784 and 2788.

LCM(2784,2788) = 25×31×171×291×411
LCM(2784,2788) = 1940448

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784

Factors of 2788

List of positive integer factors of 2788 that divides 2788 without a remainder.

1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788

Least Common Multiple of 2784 and 2788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2784 and 2788, than apply into the LCM equation.

GCF(2784,2788) = 4
LCM(2784,2788) = ( 2784 × 2788) / 4
LCM(2784,2788) = 7761792 / 4
LCM(2784,2788) = 1940448

Properties of LCM 2784 and 2788

(i) The LCM of 2788 and 2784 is associative

LCM of 2784 and 2788 = LCM of 2788 and 2784

Related Least Common Multiples of 2784

Related Least Common Multiples of 2788

Frequently Asked Questions on LCM of 2784 and 2788

1. What is the LCM of 2784 and 2788?

Answer: LCM of 2784 and 2788 is 1940448.

2. What are the Factors of 2784?

Answer: Factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784. There are 24 integers that are factors of 2784. The greatest factor of 2784 is 2784.

3. What are the Factors of 2788?

Answer: Factors of 2788 are 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788. There are 12 integers that are factors of 2788. The greatest factor of 2788 is 2788.

4. How to Find the LCM of 2784 and 2788?

Answer:

Least Common Multiple of 2784 and 2788 = 1940448

Step 1: Find the prime factorization of 2784

2784 = 2 x 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 2788

2788 = 2 x 2 x 17 x 41

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

LCM = 1940448 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 2784 and 2788 is 1940448.