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 2797 the smallest integer that is 7812021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2793 and 2797 is 7812021.
LCM(2793,2797) = 7812021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2793 and 2797. First we will calculate the prime factors of 2793 and 2797.
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 2797
2797 | 2797 |
1 |
Prime factors of 2797 are 2797. Prime factorization of 2797 in exponential form is:
2797 = 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 2793 and 2797.
LCM(2793,2797) = 31×72×191×27971
LCM(2793,2797) = 7812021
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 2797
List of positive integer factors of 2797 that divides 2797 without a remainder.
1, 2797
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2793 and 2797, than apply into the LCM equation.
GCF(2793,2797) = 1
LCM(2793,2797) = ( 2793 × 2797) / 1
LCM(2793,2797) = 7812021 / 1
LCM(2793,2797) = 7812021
(i) The LCM of 2797 and 2793 is associative
LCM of 2793 and 2797 = LCM of 2797 and 2793
1. What is the LCM of 2793 and 2797?
Answer: LCM of 2793 and 2797 is 7812021.
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 2797?
Answer: Factors of 2797 are 1, 2797. There are 2 integers that are factors of 2797. The greatest factor of 2797 is 2797.
4. How to Find the LCM of 2793 and 2797?
Answer:
Least Common Multiple of 2793 and 2797 = 7812021
Step 1: Find the prime factorization of 2793
2793 = 3 x 7 x 7 x 19
Step 2: Find the prime factorization of 2797
2797 = 2797
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7812021 = 3 x 7 x 7 x 19 x 2797
Step 4: Therefore, the least common multiple of 2793 and 2797 is 7812021.