Least Common Multiple of 2789 and 2793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2789 and 2793 the smallest integer that is 7789677 that is divisible by both numbers.

Least Common Multiple (LCM) of 2789 and 2793 is 7789677.

LCM(2789,2793) = 7789677

LCM of 2789 and 2793

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

LCM of:
and

Least Common Multiple of 2789 and 2793

LCM of 2789 and 2793 is 7789677

Least common multiple can be found by multiplying the highest exponent prime factors of 2789 and 2793. First we will calculate the prime factors of 2789 and 2793.

Prime Factorization of 2789


2789 2789
1

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

2789 = 27891

Prime Factorization of 2793


3 2793
7 931
7 133
19 19
1

Prime factors of 2793 are 3, 7,19. Prime factorization of 2793 in exponential form is:

2793 = 31×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2789 and 2793.

LCM(2789,2793) = 31×72×191×27891
LCM(2789,2793) = 7789677

Factors of 2789

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

1, 2789

Factors of 2793

List of positive integer factors of 2793 that divides 2793 without a remainder.

1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793

Least Common Multiple of 2789 and 2793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2789 and 2793, than apply into the LCM equation.

GCF(2789,2793) = 1
LCM(2789,2793) = ( 2789 × 2793) / 1
LCM(2789,2793) = 7789677 / 1
LCM(2789,2793) = 7789677

Properties of LCM 2789 and 2793

(i) The LCM of 2793 and 2789 is associative

LCM of 2789 and 2793 = LCM of 2793 and 2789

Related Least Common Multiples of 2789

Related Least Common Multiples of 2793

Frequently Asked Questions on LCM of 2789 and 2793

1. What is the LCM of 2789 and 2793?

Answer: LCM of 2789 and 2793 is 7789677.

2. 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.

3. What are the Factors of 2793?

Answer: Factors of 2793 are 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793. There are 12 integers that are factors of 2793. The greatest factor of 2793 is 2793.

4. How to Find the LCM of 2789 and 2793?

Answer:

Least Common Multiple of 2789 and 2793 = 7789677

Step 1: Find the prime factorization of 2789

2789 = 2789

Step 2: Find the prime factorization of 2793

2793 = 3 x 7 x 7 x 19

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

LCM = 7789677 = 3 x 7 x 7 x 19 x 2789

Step 4: Therefore, the least common multiple of 2789 and 2793 is 7789677.