Least Common Multiple of 793 and 798
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 793 and 798 the smallest integer that is 632814 that is divisible by both numbers.
Least Common Multiple (LCM) of 793 and 798 is 632814.
LCM(793,798) = 632814
LCM of 793 and 798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 793 and 798 by Prime method
- Least Common Multiple of 793 and 798 with GCF Formula
LCM of 793 and 798 is 632814
Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 798. First we will calculate the prime factors of 793 and 798.
Prime Factorization of 793
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:
793 = 131×611
Prime Factorization of 798
| 2 | 798 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:
798 = 21×31×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 793 and 798.
LCM(793,798) = 21×31×71×131×191×611
LCM(793,798) = 632814
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Least Common Multiple of 793 and 798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 793 and 798, than apply into the LCM equation.
GCF(793,798) = 1
LCM(793,798) = ( 793 × 798) / 1
LCM(793,798) = 632814 / 1
LCM(793,798) = 632814
Properties of LCM 793 and 798
(i) The LCM of 798 and 793 is associative
LCM of 793 and 798 = LCM of 798 and 793
Related Least Common Multiples of 793
Related Least Common Multiples of 798
Frequently Asked Questions on LCM of 793 and 798
1. What is the LCM of 793 and 798?
Answer: LCM of 793 and 798 is 632814.
2. What are the Factors of 793?
Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.
3. What are the Factors of 798?
Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.
4. How to Find the LCM of 793 and 798?
Answer:
Least Common Multiple of 793 and 798 = 632814
Step 1: Find the prime factorization of 793
793 = 13 x 61
Step 2: Find the prime factorization of 798
798 = 2 x 3 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 = 632814 = 2 x 3 x 7 x 13 x 19 x 61
Step 4: Therefore, the least common multiple of 793 and 798 is 632814.