Least Common Multiple of 799 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 799 and 801 the smallest integer that is 639999 that is divisible by both numbers.
Least Common Multiple (LCM) of 799 and 801 is 639999.
LCM(799,801) = 639999
LCM of 799 and 801
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 799 and 801 by Prime method
- Least Common Multiple of 799 and 801 with GCF Formula
LCM of 799 and 801 is 639999
Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 801. First we will calculate the prime factors of 799 and 801.
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
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 799 and 801.
LCM(799,801) = 32×171×471×891
LCM(799,801) = 639999
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
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 799 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 799 and 801, than apply into the LCM equation.
GCF(799,801) = 1
LCM(799,801) = ( 799 × 801) / 1
LCM(799,801) = 639999 / 1
LCM(799,801) = 639999
Properties of LCM 799 and 801
(i) The LCM of 801 and 799 is associative
LCM of 799 and 801 = LCM of 801 and 799
Related Least Common Multiples of 799
Related Least Common Multiples of 801
Frequently Asked Questions on LCM of 799 and 801
1. What is the LCM of 799 and 801?
Answer: LCM of 799 and 801 is 639999.
2. 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.
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 799 and 801?
Answer:
Least Common Multiple of 799 and 801 = 639999
Step 1: Find the prime factorization of 799
799 = 17 x 47
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 = 639999 = 3 x 3 x 17 x 47 x 89
Step 4: Therefore, the least common multiple of 799 and 801 is 639999.
