Least Common Multiple of 2793 and 2799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2793 and 2799 the smallest integer that is 2605869 that is divisible by both numbers.

Least Common Multiple (LCM) of 2793 and 2799 is 2605869.

LCM(2793,2799) = 2605869

LCM of 2793 and 2799

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

LCM of:
and

Least Common Multiple of 2793 and 2799

LCM of 2793 and 2799 is 2605869

Least common multiple can be found by multiplying the highest exponent prime factors of 2793 and 2799. First we will calculate the prime factors of 2793 and 2799.

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

Prime Factorization of 2799


3 2799
3 933
311 311
1

Prime factors of 2799 are 3,311. Prime factorization of 2799 in exponential form is:

2799 = 32×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 2793 and 2799.

LCM(2793,2799) = 32×72×191×3111
LCM(2793,2799) = 2605869

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

Factors of 2799

List of positive integer factors of 2799 that divides 2799 without a remainder.

1, 3, 9, 311, 933, 2799

Least Common Multiple of 2793 and 2799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2793 and 2799, than apply into the LCM equation.

GCF(2793,2799) = 3
LCM(2793,2799) = ( 2793 × 2799) / 3
LCM(2793,2799) = 7817607 / 3
LCM(2793,2799) = 2605869

Properties of LCM 2793 and 2799

(i) The LCM of 2799 and 2793 is associative

LCM of 2793 and 2799 = LCM of 2799 and 2793

Related Least Common Multiples of 2793

Related Least Common Multiples of 2799

Frequently Asked Questions on LCM of 2793 and 2799

1. What is the LCM of 2793 and 2799?

Answer: LCM of 2793 and 2799 is 2605869.

2. 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.

3. What are the Factors of 2799?

Answer: Factors of 2799 are 1, 3, 9, 311, 933, 2799. There are 6 integers that are factors of 2799. The greatest factor of 2799 is 2799.

4. How to Find the LCM of 2793 and 2799?

Answer:

Least Common Multiple of 2793 and 2799 = 2605869

Step 1: Find the prime factorization of 2793

2793 = 3 x 7 x 7 x 19

Step 2: Find the prime factorization of 2799

2799 = 3 x 3 x 311

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

LCM = 2605869 = 3 x 3 x 7 x 7 x 19 x 311

Step 4: Therefore, the least common multiple of 2793 and 2799 is 2605869.