Least Common Multiple of 2793 and 2794

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 2794 the smallest integer that is 7803642 that is divisible by both numbers.

Least Common Multiple (LCM) of 2793 and 2794 is 7803642.

LCM(2793,2794) = 7803642

LCM of 2793 and 2794

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

LCM of:
and

Least Common Multiple of 2793 and 2794

LCM of 2793 and 2794 is 7803642

Least common multiple can be found by multiplying the highest exponent prime factors of 2793 and 2794. First we will calculate the prime factors of 2793 and 2794.

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 2794


2 2794
11 1397
127 127
1

Prime factors of 2794 are 2, 11,127. Prime factorization of 2794 in exponential form is:

2794 = 21×111×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2793 and 2794.

LCM(2793,2794) = 21×31×72×111×191×1271
LCM(2793,2794) = 7803642

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 2794

List of positive integer factors of 2794 that divides 2794 without a remainder.

1, 2, 11, 22, 127, 254, 1397, 2794

Least Common Multiple of 2793 and 2794 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 2794, than apply into the LCM equation.

GCF(2793,2794) = 1
LCM(2793,2794) = ( 2793 × 2794) / 1
LCM(2793,2794) = 7803642 / 1
LCM(2793,2794) = 7803642

Properties of LCM 2793 and 2794

(i) The LCM of 2794 and 2793 is associative

LCM of 2793 and 2794 = LCM of 2794 and 2793

Related Least Common Multiples of 2793

Related Least Common Multiples of 2794

Frequently Asked Questions on LCM of 2793 and 2794

1. What is the LCM of 2793 and 2794?

Answer: LCM of 2793 and 2794 is 7803642.

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 2794?

Answer: Factors of 2794 are 1, 2, 11, 22, 127, 254, 1397, 2794. There are 8 integers that are factors of 2794. The greatest factor of 2794 is 2794.

4. How to Find the LCM of 2793 and 2794?

Answer:

Least Common Multiple of 2793 and 2794 = 7803642

Step 1: Find the prime factorization of 2793

2793 = 3 x 7 x 7 x 19

Step 2: Find the prime factorization of 2794

2794 = 2 x 11 x 127

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

LCM = 7803642 = 2 x 3 x 7 x 7 x 11 x 19 x 127

Step 4: Therefore, the least common multiple of 2793 and 2794 is 7803642.