Least Common Multiple of 7247 and 7254
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7247 and 7254 the smallest integer that is 52569738 that is divisible by both numbers.
Least Common Multiple (LCM) of 7247 and 7254 is 52569738.
LCM(7247,7254) = 52569738
LCM of 7247 and 7254
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7247 and 7254 by Prime method
- Least Common Multiple of 7247 and 7254 with GCF Formula
LCM of 7247 and 7254 is 52569738
Least common multiple can be found by multiplying the highest exponent prime factors of 7247 and 7254. First we will calculate the prime factors of 7247 and 7254.
Prime Factorization of 7247
| 7247 | 7247 |
| 1 |
Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:
7247 = 72471
Prime Factorization of 7254
| 2 | 7254 |
| 3 | 3627 |
| 3 | 1209 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 7254 are 2, 3, 13,31. Prime factorization of 7254 in exponential form is:
7254 = 21×32×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7247 and 7254.
LCM(7247,7254) = 21×32×131×311×72471
LCM(7247,7254) = 52569738
Factors of 7247
List of positive integer factors of 7247 that divides 7247 without a remainder.
1, 7247
Factors of 7254
List of positive integer factors of 7254 that divides 7254 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254
Least Common Multiple of 7247 and 7254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7247 and 7254, than apply into the LCM equation.
GCF(7247,7254) = 1
LCM(7247,7254) = ( 7247 × 7254) / 1
LCM(7247,7254) = 52569738 / 1
LCM(7247,7254) = 52569738
Properties of LCM 7247 and 7254
(i) The LCM of 7254 and 7247 is associative
LCM of 7247 and 7254 = LCM of 7254 and 7247
Related Least Common Multiples of 7247
Related Least Common Multiples of 7254
Frequently Asked Questions on LCM of 7247 and 7254
1. What is the LCM of 7247 and 7254?
Answer: LCM of 7247 and 7254 is 52569738.
2. What are the Factors of 7247?
Answer: Factors of 7247 are 1, 7247. There are 2 integers that are factors of 7247. The greatest factor of 7247 is 7247.
3. What are the Factors of 7254?
Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.
4. How to Find the LCM of 7247 and 7254?
Answer:
Least Common Multiple of 7247 and 7254 = 52569738
Step 1: Find the prime factorization of 7247
7247 = 7247
Step 2: Find the prime factorization of 7254
7254 = 2 x 3 x 3 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52569738 = 2 x 3 x 3 x 13 x 31 x 7247
Step 4: Therefore, the least common multiple of 7247 and 7254 is 52569738.