Least Common Multiple of 795 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 795 and 798 the smallest integer that is 211470 that is divisible by both numbers.
Least Common Multiple (LCM) of 795 and 798 is 211470.
LCM(795,798) = 211470
LCM of 795 and 798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 795 and 798 by Prime method
- Least Common Multiple of 795 and 798 with GCF Formula
LCM of 795 and 798 is 211470
Least common multiple can be found by multiplying the highest exponent prime factors of 795 and 798. First we will calculate the prime factors of 795 and 798.
Prime Factorization of 795
| 3 | 795 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:
795 = 31×51×531
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 795 and 798.
LCM(795,798) = 21×31×51×71×191×531
LCM(795,798) = 211470
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
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 795 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 795 and 798, than apply into the LCM equation.
GCF(795,798) = 3
LCM(795,798) = ( 795 × 798) / 3
LCM(795,798) = 634410 / 3
LCM(795,798) = 211470
Properties of LCM 795 and 798
(i) The LCM of 798 and 795 is associative
LCM of 795 and 798 = LCM of 798 and 795
Related Least Common Multiples of 795
Related Least Common Multiples of 798
Frequently Asked Questions on LCM of 795 and 798
1. What is the LCM of 795 and 798?
Answer: LCM of 795 and 798 is 211470.
2. What are the Factors of 795?
Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.
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 795 and 798?
Answer:
Least Common Multiple of 795 and 798 = 211470
Step 1: Find the prime factorization of 795
795 = 3 x 5 x 53
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 = 211470 = 2 x 3 x 5 x 7 x 19 x 53
Step 4: Therefore, the least common multiple of 795 and 798 is 211470.