Least Common Multiple of 2782 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 2782 and 2788 the smallest integer that is 3878108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2782 and 2788 is 3878108.

LCM(2782,2788) = 3878108

LCM of 2782 and 2788

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

LCM of:
and

Least Common Multiple of 2782 and 2788

LCM of 2782 and 2788 is 3878108

Least common multiple can be found by multiplying the highest exponent prime factors of 2782 and 2788. First we will calculate the prime factors of 2782 and 2788.

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 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 2782 and 2788.

LCM(2782,2788) = 22×131×171×411×1071
LCM(2782,2788) = 3878108

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 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 2782 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 2782 and 2788, than apply into the LCM equation.

GCF(2782,2788) = 2
LCM(2782,2788) = ( 2782 × 2788) / 2
LCM(2782,2788) = 7756216 / 2
LCM(2782,2788) = 3878108

Properties of LCM 2782 and 2788

(i) The LCM of 2788 and 2782 is associative

LCM of 2782 and 2788 = LCM of 2788 and 2782

Related Least Common Multiples of 2782

Related Least Common Multiples of 2788

Frequently Asked Questions on LCM of 2782 and 2788

1. What is the LCM of 2782 and 2788?

Answer: LCM of 2782 and 2788 is 3878108.

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 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 2782 and 2788?

Answer:

Least Common Multiple of 2782 and 2788 = 3878108

Step 1: Find the prime factorization of 2782

2782 = 2 x 13 x 107

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 = 3878108 = 2 x 2 x 13 x 17 x 41 x 107

Step 4: Therefore, the least common multiple of 2782 and 2788 is 3878108.