Least Common Multiple of 801 and 805
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 801 and 805 the smallest integer that is 644805 that is divisible by both numbers.
Least Common Multiple (LCM) of 801 and 805 is 644805.
LCM(801,805) = 644805
LCM of 801 and 805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 801 and 805 by Prime method
- Least Common Multiple of 801 and 805 with GCF Formula
LCM of 801 and 805 is 644805
Least common multiple can be found by multiplying the highest exponent prime factors of 801 and 805. First we will calculate the prime factors of 801 and 805.
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
Prime Factorization of 805
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 805 are 5, 7,23. Prime factorization of 805 in exponential form is:
805 = 51×71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 801 and 805.
LCM(801,805) = 32×51×71×231×891
LCM(801,805) = 644805
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Least Common Multiple of 801 and 805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 801 and 805, than apply into the LCM equation.
GCF(801,805) = 1
LCM(801,805) = ( 801 × 805) / 1
LCM(801,805) = 644805 / 1
LCM(801,805) = 644805
Properties of LCM 801 and 805
(i) The LCM of 805 and 801 is associative
LCM of 801 and 805 = LCM of 805 and 801
Related Least Common Multiples of 801
Related Least Common Multiples of 805
Frequently Asked Questions on LCM of 801 and 805
1. What is the LCM of 801 and 805?
Answer: LCM of 801 and 805 is 644805.
2. 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.
3. What are the Factors of 805?
Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.
4. How to Find the LCM of 801 and 805?
Answer:
Least Common Multiple of 801 and 805 = 644805
Step 1: Find the prime factorization of 801
801 = 3 x 3 x 89
Step 2: Find the prime factorization of 805
805 = 5 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 644805 = 3 x 3 x 5 x 7 x 23 x 89
Step 4: Therefore, the least common multiple of 801 and 805 is 644805.