Least Common Multiple of 2809 and 2815
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2809 and 2815 the smallest integer that is 7907335 that is divisible by both numbers.
Least Common Multiple (LCM) of 2809 and 2815 is 7907335.
LCM(2809,2815) = 7907335
LCM of 2809 and 2815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2809 and 2815 by Prime method
- Least Common Multiple of 2809 and 2815 with GCF Formula
LCM of 2809 and 2815 is 7907335
Least common multiple can be found by multiplying the highest exponent prime factors of 2809 and 2815. First we will calculate the prime factors of 2809 and 2815.
Prime Factorization of 2809
| 53 | 2809 |
| 53 | 53 |
| 1 |
Prime factors of 2809 are 53. Prime factorization of 2809 in exponential form is:
2809 = 532
Prime Factorization of 2815
| 5 | 2815 |
| 563 | 563 |
| 1 |
Prime factors of 2815 are 5,563. Prime factorization of 2815 in exponential form is:
2815 = 51×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 2809 and 2815.
LCM(2809,2815) = 51×532×5631
LCM(2809,2815) = 7907335
Factors of 2809
List of positive integer factors of 2809 that divides 2809 without a remainder.
1, 53, 2809
Factors of 2815
List of positive integer factors of 2815 that divides 2815 without a remainder.
1, 5, 563, 2815
Least Common Multiple of 2809 and 2815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2809 and 2815, than apply into the LCM equation.
GCF(2809,2815) = 1
LCM(2809,2815) = ( 2809 × 2815) / 1
LCM(2809,2815) = 7907335 / 1
LCM(2809,2815) = 7907335
Properties of LCM 2809 and 2815
(i) The LCM of 2815 and 2809 is associative
LCM of 2809 and 2815 = LCM of 2815 and 2809
Related Least Common Multiples of 2809
Related Least Common Multiples of 2815
Frequently Asked Questions on LCM of 2809 and 2815
1. What is the LCM of 2809 and 2815?
Answer: LCM of 2809 and 2815 is 7907335.
2. What are the Factors of 2809?
Answer: Factors of 2809 are 1, 53, 2809. There are 3 integers that are factors of 2809. The greatest factor of 2809 is 2809.
3. What are the Factors of 2815?
Answer: Factors of 2815 are 1, 5, 563, 2815. There are 4 integers that are factors of 2815. The greatest factor of 2815 is 2815.
4. How to Find the LCM of 2809 and 2815?
Answer:
Least Common Multiple of 2809 and 2815 = 7907335
Step 1: Find the prime factorization of 2809
2809 = 53 x 53
Step 2: Find the prime factorization of 2815
2815 = 5 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7907335 = 5 x 53 x 53 x 563
Step 4: Therefore, the least common multiple of 2809 and 2815 is 7907335.