Least Common Multiple of 807 and 813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 807 and 813 the smallest integer that is 218697 that is divisible by both numbers.
Least Common Multiple (LCM) of 807 and 813 is 218697.
LCM(807,813) = 218697
LCM of 807 and 813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 807 and 813 by Prime method
- Least Common Multiple of 807 and 813 with GCF Formula
LCM of 807 and 813 is 218697
Least common multiple can be found by multiplying the highest exponent prime factors of 807 and 813. First we will calculate the prime factors of 807 and 813.
Prime Factorization of 807
| 3 | 807 |
| 269 | 269 |
| 1 |
Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:
807 = 31×2691
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
Now multiplying the highest exponent prime factors to calculate the LCM of 807 and 813.
LCM(807,813) = 31×2691×2711
LCM(807,813) = 218697
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Least Common Multiple of 807 and 813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 807 and 813, than apply into the LCM equation.
GCF(807,813) = 3
LCM(807,813) = ( 807 × 813) / 3
LCM(807,813) = 656091 / 3
LCM(807,813) = 218697
Properties of LCM 807 and 813
(i) The LCM of 813 and 807 is associative
LCM of 807 and 813 = LCM of 813 and 807
Related Least Common Multiples of 807
Related Least Common Multiples of 813
Frequently Asked Questions on LCM of 807 and 813
1. What is the LCM of 807 and 813?
Answer: LCM of 807 and 813 is 218697.
2. What are the Factors of 807?
Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.
3. 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.
4. How to Find the LCM of 807 and 813?
Answer:
Least Common Multiple of 807 and 813 = 218697
Step 1: Find the prime factorization of 807
807 = 3 x 269
Step 2: Find the prime factorization of 813
813 = 3 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 218697 = 3 x 269 x 271
Step 4: Therefore, the least common multiple of 807 and 813 is 218697.