Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7249 and 7256 the smallest integer that is 52598744 that is divisible by both numbers.
Least Common Multiple (LCM) of 7249 and 7256 is 52598744.
LCM(7249,7256) = 52598744
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7249 and 7256. First we will calculate the prime factors of 7249 and 7256.
Prime Factorization of 7249
11 | 7249 |
659 | 659 |
1 |
Prime factors of 7249 are 11,659. Prime factorization of 7249 in exponential form is:
7249 = 111×6591
Prime Factorization of 7256
2 | 7256 |
2 | 3628 |
2 | 1814 |
907 | 907 |
1 |
Prime factors of 7256 are 2,907. Prime factorization of 7256 in exponential form is:
7256 = 23×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 7249 and 7256.
LCM(7249,7256) = 23×111×6591×9071
LCM(7249,7256) = 52598744
Factors of 7249
List of positive integer factors of 7249 that divides 7249 without a remainder.
1, 11, 659, 7249
Factors of 7256
List of positive integer factors of 7256 that divides 7256 without a remainder.
1, 2, 4, 8, 907, 1814, 3628, 7256
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7249 and 7256, than apply into the LCM equation.
GCF(7249,7256) = 1
LCM(7249,7256) = ( 7249 × 7256) / 1
LCM(7249,7256) = 52598744 / 1
LCM(7249,7256) = 52598744
(i) The LCM of 7256 and 7249 is associative
LCM of 7249 and 7256 = LCM of 7256 and 7249
1. What is the LCM of 7249 and 7256?
Answer: LCM of 7249 and 7256 is 52598744.
2. What are the Factors of 7249?
Answer: Factors of 7249 are 1, 11, 659, 7249. There are 4 integers that are factors of 7249. The greatest factor of 7249 is 7249.
3. What are the Factors of 7256?
Answer: Factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256. There are 8 integers that are factors of 7256. The greatest factor of 7256 is 7256.
4. How to Find the LCM of 7249 and 7256?
Answer:
Least Common Multiple of 7249 and 7256 = 52598744
Step 1: Find the prime factorization of 7249
7249 = 11 x 659
Step 2: Find the prime factorization of 7256
7256 = 2 x 2 x 2 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52598744 = 2 x 2 x 2 x 11 x 659 x 907
Step 4: Therefore, the least common multiple of 7249 and 7256 is 52598744.