Least Common Multiple of 2783 and 2789

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 2789 the smallest integer that is 7761787 that is divisible by both numbers.

Least Common Multiple (LCM) of 2783 and 2789 is 7761787.

LCM(2783,2789) = 7761787

LCM of 2783 and 2789

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

LCM of:
and

Least Common Multiple of 2783 and 2789

LCM of 2783 and 2789 is 7761787

Least common multiple can be found by multiplying the highest exponent prime factors of 2783 and 2789. First we will calculate the prime factors of 2783 and 2789.

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 2789


2789 2789
1

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 2783 and 2789.

LCM(2783,2789) = 112×231×27891
LCM(2783,2789) = 7761787

Factors of 2783

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

1, 11, 23, 121, 253, 2783

Factors of 2789

List of positive integer factors of 2789 that divides 2789 without a remainder.

1, 2789

Least Common Multiple of 2783 and 2789 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 2789, than apply into the LCM equation.

GCF(2783,2789) = 1
LCM(2783,2789) = ( 2783 × 2789) / 1
LCM(2783,2789) = 7761787 / 1
LCM(2783,2789) = 7761787

Properties of LCM 2783 and 2789

(i) The LCM of 2789 and 2783 is associative

LCM of 2783 and 2789 = LCM of 2789 and 2783

Related Least Common Multiples of 2783

Related Least Common Multiples of 2789

Frequently Asked Questions on LCM of 2783 and 2789

1. What is the LCM of 2783 and 2789?

Answer: LCM of 2783 and 2789 is 7761787.

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 2789?

Answer: Factors of 2789 are 1, 2789. There are 2 integers that are factors of 2789. The greatest factor of 2789 is 2789.

4. How to Find the LCM of 2783 and 2789?

Answer:

Least Common Multiple of 2783 and 2789 = 7761787

Step 1: Find the prime factorization of 2783

2783 = 11 x 11 x 23

Step 2: Find the prime factorization of 2789

2789 = 2789

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

LCM = 7761787 = 11 x 11 x 23 x 2789

Step 4: Therefore, the least common multiple of 2783 and 2789 is 7761787.