Least Common Multiple of 2793 and 2795
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 2795 the smallest integer that is 7806435 that is divisible by both numbers.
Least Common Multiple (LCM) of 2793 and 2795 is 7806435.
LCM(2793,2795) = 7806435
LCM of 2793 and 2795
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2793 and 2795 by Prime method
- Least Common Multiple of 2793 and 2795 with GCF Formula
LCM of 2793 and 2795 is 7806435
Least common multiple can be found by multiplying the highest exponent prime factors of 2793 and 2795. First we will calculate the prime factors of 2793 and 2795.
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 2795
| 5 | 2795 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 2795 are 5, 13,43. Prime factorization of 2795 in exponential form is:
2795 = 51×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2793 and 2795.
LCM(2793,2795) = 31×51×72×131×191×431
LCM(2793,2795) = 7806435
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 2795
List of positive integer factors of 2795 that divides 2795 without a remainder.
1, 5, 13, 43, 65, 215, 559, 2795
Least Common Multiple of 2793 and 2795 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 2795, than apply into the LCM equation.
GCF(2793,2795) = 1
LCM(2793,2795) = ( 2793 × 2795) / 1
LCM(2793,2795) = 7806435 / 1
LCM(2793,2795) = 7806435
Properties of LCM 2793 and 2795
(i) The LCM of 2795 and 2793 is associative
LCM of 2793 and 2795 = LCM of 2795 and 2793
Related Least Common Multiples of 2793
Related Least Common Multiples of 2795
Frequently Asked Questions on LCM of 2793 and 2795
1. What is the LCM of 2793 and 2795?
Answer: LCM of 2793 and 2795 is 7806435.
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 2795?
Answer: Factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795. There are 8 integers that are factors of 2795. The greatest factor of 2795 is 2795.
4. How to Find the LCM of 2793 and 2795?
Answer:
Least Common Multiple of 2793 and 2795 = 7806435
Step 1: Find the prime factorization of 2793
2793 = 3 x 7 x 7 x 19
Step 2: Find the prime factorization of 2795
2795 = 5 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7806435 = 3 x 5 x 7 x 7 x 13 x 19 x 43
Step 4: Therefore, the least common multiple of 2793 and 2795 is 7806435.