Least Common Multiple of 799 and 802
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 802 the smallest integer that is 640798 that is divisible by both numbers.
Least Common Multiple (LCM) of 799 and 802 is 640798.
LCM(799,802) = 640798
LCM of 799 and 802
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 799 and 802 by Prime method
- Least Common Multiple of 799 and 802 with GCF Formula
LCM of 799 and 802 is 640798
Least common multiple can be found by multiplying the highest exponent prime factors of 799 and 802. First we will calculate the prime factors of 799 and 802.
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 802
| 2 | 802 |
| 401 | 401 |
| 1 |
Prime factors of 802 are 2,401. Prime factorization of 802 in exponential form is:
802 = 21×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 799 and 802.
LCM(799,802) = 21×171×471×4011
LCM(799,802) = 640798
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Least Common Multiple of 799 and 802 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 802, than apply into the LCM equation.
GCF(799,802) = 1
LCM(799,802) = ( 799 × 802) / 1
LCM(799,802) = 640798 / 1
LCM(799,802) = 640798
Properties of LCM 799 and 802
(i) The LCM of 802 and 799 is associative
LCM of 799 and 802 = LCM of 802 and 799
Related Least Common Multiples of 799
Related Least Common Multiples of 802
Frequently Asked Questions on LCM of 799 and 802
1. What is the LCM of 799 and 802?
Answer: LCM of 799 and 802 is 640798.
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 802?
Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.
4. How to Find the LCM of 799 and 802?
Answer:
Least Common Multiple of 799 and 802 = 640798
Step 1: Find the prime factorization of 799
799 = 17 x 47
Step 2: Find the prime factorization of 802
802 = 2 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 640798 = 2 x 17 x 47 x 401
Step 4: Therefore, the least common multiple of 799 and 802 is 640798.
