Least Common Multiple of 813 and 815
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 813 and 815 the smallest integer that is 662595 that is divisible by both numbers.
Least Common Multiple (LCM) of 813 and 815 is 662595.
LCM(813,815) = 662595
LCM of 813 and 815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 813 and 815 by Prime method
- Least Common Multiple of 813 and 815 with GCF Formula
LCM of 813 and 815 is 662595
Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 815. First we will calculate the prime factors of 813 and 815.
Prime Factorization of 813
| 3 | 813 |
| 271 | 271 |
| 1 |
Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:
813 = 31×2711
Prime Factorization of 815
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 815 are 5,163. Prime factorization of 815 in exponential form is:
815 = 51×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 813 and 815.
LCM(813,815) = 31×51×1631×2711
LCM(813,815) = 662595
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Least Common Multiple of 813 and 815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 813 and 815, than apply into the LCM equation.
GCF(813,815) = 1
LCM(813,815) = ( 813 × 815) / 1
LCM(813,815) = 662595 / 1
LCM(813,815) = 662595
Properties of LCM 813 and 815
(i) The LCM of 815 and 813 is associative
LCM of 813 and 815 = LCM of 815 and 813
Related Least Common Multiples of 813
Related Least Common Multiples of 815
Frequently Asked Questions on LCM of 813 and 815
1. What is the LCM of 813 and 815?
Answer: LCM of 813 and 815 is 662595.
2. What are the Factors of 813?
Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.
3. What are the Factors of 815?
Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.
4. How to Find the LCM of 813 and 815?
Answer:
Least Common Multiple of 813 and 815 = 662595
Step 1: Find the prime factorization of 813
813 = 3 x 271
Step 2: Find the prime factorization of 815
815 = 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 662595 = 3 x 5 x 163 x 271
Step 4: Therefore, the least common multiple of 813 and 815 is 662595.
