Least Common Multiple of 798 and 799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 798 and 799 the smallest integer that is 637602 that is divisible by both numbers.
Least Common Multiple (LCM) of 798 and 799 is 637602.
LCM(798,799) = 637602
LCM of 798 and 799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 798 and 799 by Prime method
- Least Common Multiple of 798 and 799 with GCF Formula
LCM of 798 and 799 is 637602
Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 799. First we will calculate the prime factors of 798 and 799.
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
Prime Factorization of 799
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:
799 = 171×471
Now multiplying the highest exponent prime factors to calculate the LCM of 798 and 799.
LCM(798,799) = 21×31×71×171×191×471
LCM(798,799) = 637602
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
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Least Common Multiple of 798 and 799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 798 and 799, than apply into the LCM equation.
GCF(798,799) = 1
LCM(798,799) = ( 798 × 799) / 1
LCM(798,799) = 637602 / 1
LCM(798,799) = 637602
Properties of LCM 798 and 799
(i) The LCM of 799 and 798 is associative
LCM of 798 and 799 = LCM of 799 and 798
Related Least Common Multiples of 798
Related Least Common Multiples of 799
Frequently Asked Questions on LCM of 798 and 799
1. What is the LCM of 798 and 799?
Answer: LCM of 798 and 799 is 637602.
2. 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.
3. What are the Factors of 799?
Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.
4. How to Find the LCM of 798 and 799?
Answer:
Least Common Multiple of 798 and 799 = 637602
Step 1: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
Step 2: Find the prime factorization of 799
799 = 17 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 637602 = 2 x 3 x 7 x 17 x 19 x 47
Step 4: Therefore, the least common multiple of 798 and 799 is 637602.
