Least Common Multiple of 5246 and 5247
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5246 and 5247 the smallest integer that is 27525762 that is divisible by both numbers.
Least Common Multiple (LCM) of 5246 and 5247 is 27525762.
LCM(5246,5247) = 27525762
LCM of 5246 and 5247
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5246 and 5247 by Prime method
- Least Common Multiple of 5246 and 5247 with GCF Formula
LCM of 5246 and 5247 is 27525762
Least common multiple can be found by multiplying the highest exponent prime factors of 5246 and 5247. First we will calculate the prime factors of 5246 and 5247.
Prime Factorization of 5246
| 2 | 5246 |
| 43 | 2623 |
| 61 | 61 |
| 1 |
Prime factors of 5246 are 2, 43,61. Prime factorization of 5246 in exponential form is:
5246 = 21×431×611
Prime Factorization of 5247
| 3 | 5247 |
| 3 | 1749 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 5247 are 3, 11,53. Prime factorization of 5247 in exponential form is:
5247 = 32×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 5246 and 5247.
LCM(5246,5247) = 21×32×111×431×531×611
LCM(5246,5247) = 27525762
Factors of 5246
List of positive integer factors of 5246 that divides 5246 without a remainder.
1, 2, 43, 61, 86, 122, 2623, 5246
Factors of 5247
List of positive integer factors of 5247 that divides 5247 without a remainder.
1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247
Least Common Multiple of 5246 and 5247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5246 and 5247, than apply into the LCM equation.
GCF(5246,5247) = 1
LCM(5246,5247) = ( 5246 × 5247) / 1
LCM(5246,5247) = 27525762 / 1
LCM(5246,5247) = 27525762
Properties of LCM 5246 and 5247
(i) The LCM of 5247 and 5246 is associative
LCM of 5246 and 5247 = LCM of 5247 and 5246
Related Least Common Multiples of 5246
Related Least Common Multiples of 5247
Frequently Asked Questions on LCM of 5246 and 5247
1. What is the LCM of 5246 and 5247?
Answer: LCM of 5246 and 5247 is 27525762.
2. What are the Factors of 5246?
Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.
3. What are the Factors of 5247?
Answer: Factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247. There are 12 integers that are factors of 5247. The greatest factor of 5247 is 5247.
4. How to Find the LCM of 5246 and 5247?
Answer:
Least Common Multiple of 5246 and 5247 = 27525762
Step 1: Find the prime factorization of 5246
5246 = 2 x 43 x 61
Step 2: Find the prime factorization of 5247
5247 = 3 x 3 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27525762 = 2 x 3 x 3 x 11 x 43 x 53 x 61
Step 4: Therefore, the least common multiple of 5246 and 5247 is 27525762.