Least Common Multiple of 2782 and 2784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2782 and 2784 the smallest integer that is 3872544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2782 and 2784 is 3872544.

LCM(2782,2784) = 3872544

LCM of 2782 and 2784

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

LCM of:
and

Least Common Multiple of 2782 and 2784

LCM of 2782 and 2784 is 3872544

Least common multiple can be found by multiplying the highest exponent prime factors of 2782 and 2784. First we will calculate the prime factors of 2782 and 2784.

Prime Factorization of 2782


2 2782
13 1391
107 107
1

Prime factors of 2782 are 2, 13,107. Prime factorization of 2782 in exponential form is:

2782 = 21×131×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2782 and 2784.

LCM(2782,2784) = 25×31×131×291×1071
LCM(2782,2784) = 3872544

Factors of 2782

List of positive integer factors of 2782 that divides 2782 without a remainder.

1, 2, 13, 26, 107, 214, 1391, 2782

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

Least Common Multiple of 2782 and 2784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2782 and 2784, than apply into the LCM equation.

GCF(2782,2784) = 2
LCM(2782,2784) = ( 2782 × 2784) / 2
LCM(2782,2784) = 7745088 / 2
LCM(2782,2784) = 3872544

Properties of LCM 2782 and 2784

(i) The LCM of 2784 and 2782 is associative

LCM of 2782 and 2784 = LCM of 2784 and 2782

Related Least Common Multiples of 2782

Related Least Common Multiples of 2784

Frequently Asked Questions on LCM of 2782 and 2784

1. What is the LCM of 2782 and 2784?

Answer: LCM of 2782 and 2784 is 3872544.

2. What are the Factors of 2782?

Answer: Factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782. There are 8 integers that are factors of 2782. The greatest factor of 2782 is 2782.

3. 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.

4. How to Find the LCM of 2782 and 2784?

Answer:

Least Common Multiple of 2782 and 2784 = 3872544

Step 1: Find the prime factorization of 2782

2782 = 2 x 13 x 107

Step 2: Find the prime factorization of 2784

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

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

LCM = 3872544 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 29 x 107

Step 4: Therefore, the least common multiple of 2782 and 2784 is 3872544.