Least Common Multiple of 2563 and 2567
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2563 and 2567 the smallest integer that is 6579221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2563 and 2567 is 6579221.
LCM(2563,2567) = 6579221
LCM of 2563 and 2567
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2563 and 2567 by Prime method
- Least Common Multiple of 2563 and 2567 with GCF Formula
LCM of 2563 and 2567 is 6579221
Least common multiple can be found by multiplying the highest exponent prime factors of 2563 and 2567. First we will calculate the prime factors of 2563 and 2567.
Prime Factorization of 2563
| 11 | 2563 |
| 233 | 233 |
| 1 |
Prime factors of 2563 are 11,233. Prime factorization of 2563 in exponential form is:
2563 = 111×2331
Prime Factorization of 2567
| 17 | 2567 |
| 151 | 151 |
| 1 |
Prime factors of 2567 are 17,151. Prime factorization of 2567 in exponential form is:
2567 = 171×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 2563 and 2567.
LCM(2563,2567) = 111×171×1511×2331
LCM(2563,2567) = 6579221
Factors of 2563
List of positive integer factors of 2563 that divides 2563 without a remainder.
1, 11, 233, 2563
Factors of 2567
List of positive integer factors of 2567 that divides 2567 without a remainder.
1, 17, 151, 2567
Least Common Multiple of 2563 and 2567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2563 and 2567, than apply into the LCM equation.
GCF(2563,2567) = 1
LCM(2563,2567) = ( 2563 × 2567) / 1
LCM(2563,2567) = 6579221 / 1
LCM(2563,2567) = 6579221
Properties of LCM 2563 and 2567
(i) The LCM of 2567 and 2563 is associative
LCM of 2563 and 2567 = LCM of 2567 and 2563
Related Least Common Multiples of 2563
Related Least Common Multiples of 2567
Frequently Asked Questions on LCM of 2563 and 2567
1. What is the LCM of 2563 and 2567?
Answer: LCM of 2563 and 2567 is 6579221.
2. What are the Factors of 2563?
Answer: Factors of 2563 are 1, 11, 233, 2563. There are 4 integers that are factors of 2563. The greatest factor of 2563 is 2563.
3. What are the Factors of 2567?
Answer: Factors of 2567 are 1, 17, 151, 2567. There are 4 integers that are factors of 2567. The greatest factor of 2567 is 2567.
4. How to Find the LCM of 2563 and 2567?
Answer:
Least Common Multiple of 2563 and 2567 = 6579221
Step 1: Find the prime factorization of 2563
2563 = 11 x 233
Step 2: Find the prime factorization of 2567
2567 = 17 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6579221 = 11 x 17 x 151 x 233
Step 4: Therefore, the least common multiple of 2563 and 2567 is 6579221.