Least Common Multiple of 5226 and 5227
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5226 and 5227 the smallest integer that is 27316302 that is divisible by both numbers.
Least Common Multiple (LCM) of 5226 and 5227 is 27316302.
LCM(5226,5227) = 27316302
LCM of 5226 and 5227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5226 and 5227 by Prime method
- Least Common Multiple of 5226 and 5227 with GCF Formula
LCM of 5226 and 5227 is 27316302
Least common multiple can be found by multiplying the highest exponent prime factors of 5226 and 5227. First we will calculate the prime factors of 5226 and 5227.
Prime Factorization of 5226
| 2 | 5226 |
| 3 | 2613 |
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 5226 are 2, 3, 13,67. Prime factorization of 5226 in exponential form is:
5226 = 21×31×131×671
Prime Factorization of 5227
| 5227 | 5227 |
| 1 |
Prime factors of 5227 are 5227. Prime factorization of 5227 in exponential form is:
5227 = 52271
Now multiplying the highest exponent prime factors to calculate the LCM of 5226 and 5227.
LCM(5226,5227) = 21×31×131×671×52271
LCM(5226,5227) = 27316302
Factors of 5226
List of positive integer factors of 5226 that divides 5226 without a remainder.
1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226
Factors of 5227
List of positive integer factors of 5227 that divides 5227 without a remainder.
1, 5227
Least Common Multiple of 5226 and 5227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5226 and 5227, than apply into the LCM equation.
GCF(5226,5227) = 1
LCM(5226,5227) = ( 5226 × 5227) / 1
LCM(5226,5227) = 27316302 / 1
LCM(5226,5227) = 27316302
Properties of LCM 5226 and 5227
(i) The LCM of 5227 and 5226 is associative
LCM of 5226 and 5227 = LCM of 5227 and 5226
Related Least Common Multiples of 5226
Related Least Common Multiples of 5227
Frequently Asked Questions on LCM of 5226 and 5227
1. What is the LCM of 5226 and 5227?
Answer: LCM of 5226 and 5227 is 27316302.
2. What are the Factors of 5226?
Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.
3. What are the Factors of 5227?
Answer: Factors of 5227 are 1, 5227. There are 2 integers that are factors of 5227. The greatest factor of 5227 is 5227.
4. How to Find the LCM of 5226 and 5227?
Answer:
Least Common Multiple of 5226 and 5227 = 27316302
Step 1: Find the prime factorization of 5226
5226 = 2 x 3 x 13 x 67
Step 2: Find the prime factorization of 5227
5227 = 5227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27316302 = 2 x 3 x 13 x 67 x 5227
Step 4: Therefore, the least common multiple of 5226 and 5227 is 27316302.