Least Common Multiple of 2853 and 2855
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2853 and 2855 the smallest integer that is 8145315 that is divisible by both numbers.
Least Common Multiple (LCM) of 2853 and 2855 is 8145315.
LCM(2853,2855) = 8145315
LCM of 2853 and 2855
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2853 and 2855 by Prime method
- Least Common Multiple of 2853 and 2855 with GCF Formula
LCM of 2853 and 2855 is 8145315
Least common multiple can be found by multiplying the highest exponent prime factors of 2853 and 2855. First we will calculate the prime factors of 2853 and 2855.
Prime Factorization of 2853
| 3 | 2853 |
| 3 | 951 |
| 317 | 317 |
| 1 |
Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:
2853 = 32×3171
Prime Factorization of 2855
| 5 | 2855 |
| 571 | 571 |
| 1 |
Prime factors of 2855 are 5,571. Prime factorization of 2855 in exponential form is:
2855 = 51×5711
Now multiplying the highest exponent prime factors to calculate the LCM of 2853 and 2855.
LCM(2853,2855) = 32×51×3171×5711
LCM(2853,2855) = 8145315
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1, 3, 9, 317, 951, 2853
Factors of 2855
List of positive integer factors of 2855 that divides 2855 without a remainder.
1, 5, 571, 2855
Least Common Multiple of 2853 and 2855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2853 and 2855, than apply into the LCM equation.
GCF(2853,2855) = 1
LCM(2853,2855) = ( 2853 × 2855) / 1
LCM(2853,2855) = 8145315 / 1
LCM(2853,2855) = 8145315
Properties of LCM 2853 and 2855
(i) The LCM of 2855 and 2853 is associative
LCM of 2853 and 2855 = LCM of 2855 and 2853
Related Least Common Multiples of 2853
Related Least Common Multiples of 2855
Frequently Asked Questions on LCM of 2853 and 2855
1. What is the LCM of 2853 and 2855?
Answer: LCM of 2853 and 2855 is 8145315.
2. What are the Factors of 2853?
Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.
3. What are the Factors of 2855?
Answer: Factors of 2855 are 1, 5, 571, 2855. There are 4 integers that are factors of 2855. The greatest factor of 2855 is 2855.
4. How to Find the LCM of 2853 and 2855?
Answer:
Least Common Multiple of 2853 and 2855 = 8145315
Step 1: Find the prime factorization of 2853
2853 = 3 x 3 x 317
Step 2: Find the prime factorization of 2855
2855 = 5 x 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8145315 = 3 x 3 x 5 x 317 x 571
Step 4: Therefore, the least common multiple of 2853 and 2855 is 8145315.