Least Common Multiple of 2783 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 2783 and 2788 the smallest integer that is 7759004 that is divisible by both numbers.

Least Common Multiple (LCM) of 2783 and 2788 is 7759004.

LCM(2783,2788) = 7759004

LCM of 2783 and 2788

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

LCM of:
and

Least Common Multiple of 2783 and 2788

LCM of 2783 and 2788 is 7759004

Least common multiple can be found by multiplying the highest exponent prime factors of 2783 and 2788. First we will calculate the prime factors of 2783 and 2788.

Prime Factorization of 2783


11 2783
11 253
23 23
1

Prime factors of 2783 are 11,23. Prime factorization of 2783 in exponential form is:

2783 = 112×231

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 2783 and 2788.

LCM(2783,2788) = 22×112×171×231×411
LCM(2783,2788) = 7759004

Factors of 2783

List of positive integer factors of 2783 that divides 2783 without a remainder.

1, 11, 23, 121, 253, 2783

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 2783 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 2783 and 2788, than apply into the LCM equation.

GCF(2783,2788) = 1
LCM(2783,2788) = ( 2783 × 2788) / 1
LCM(2783,2788) = 7759004 / 1
LCM(2783,2788) = 7759004

Properties of LCM 2783 and 2788

(i) The LCM of 2788 and 2783 is associative

LCM of 2783 and 2788 = LCM of 2788 and 2783

Related Least Common Multiples of 2783

Related Least Common Multiples of 2788

Frequently Asked Questions on LCM of 2783 and 2788

1. What is the LCM of 2783 and 2788?

Answer: LCM of 2783 and 2788 is 7759004.

2. What are the Factors of 2783?

Answer: Factors of 2783 are 1, 11, 23, 121, 253, 2783. There are 6 integers that are factors of 2783. The greatest factor of 2783 is 2783.

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 2783 and 2788?

Answer:

Least Common Multiple of 2783 and 2788 = 7759004

Step 1: Find the prime factorization of 2783

2783 = 11 x 11 x 23

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 = 7759004 = 2 x 2 x 11 x 11 x 17 x 23 x 41

Step 4: Therefore, the least common multiple of 2783 and 2788 is 7759004.