Least Common Multiple of 798 and 801
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 801 the smallest integer that is 213066 that is divisible by both numbers.
Least Common Multiple (LCM) of 798 and 801 is 213066.
LCM(798,801) = 213066
LCM of 798 and 801
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 798 and 801 by Prime method
- Least Common Multiple of 798 and 801 with GCF Formula
LCM of 798 and 801 is 213066
Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 801. First we will calculate the prime factors of 798 and 801.
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 801
| 3 | 801 |
| 3 | 267 |
| 89 | 89 |
| 1 |
Prime factors of 801 are 3,89. Prime factorization of 801 in exponential form is:
801 = 32×891
Now multiplying the highest exponent prime factors to calculate the LCM of 798 and 801.
LCM(798,801) = 21×32×71×191×891
LCM(798,801) = 213066
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 801
List of positive integer factors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Least Common Multiple of 798 and 801 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 801, than apply into the LCM equation.
GCF(798,801) = 3
LCM(798,801) = ( 798 × 801) / 3
LCM(798,801) = 639198 / 3
LCM(798,801) = 213066
Properties of LCM 798 and 801
(i) The LCM of 801 and 798 is associative
LCM of 798 and 801 = LCM of 801 and 798
Related Least Common Multiples of 798
Related Least Common Multiples of 801
Frequently Asked Questions on LCM of 798 and 801
1. What is the LCM of 798 and 801?
Answer: LCM of 798 and 801 is 213066.
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 801?
Answer: Factors of 801 are 1, 3, 9, 89, 267, 801. There are 6 integers that are factors of 801. The greatest factor of 801 is 801.
4. How to Find the LCM of 798 and 801?
Answer:
Least Common Multiple of 798 and 801 = 213066
Step 1: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
Step 2: Find the prime factorization of 801
801 = 3 x 3 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 213066 = 2 x 3 x 3 x 7 x 19 x 89
Step 4: Therefore, the least common multiple of 798 and 801 is 213066.
