Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4249 and 4256 the smallest integer that is 2583392 that is divisible by both numbers.
Least Common Multiple (LCM) of 4249 and 4256 is 2583392.
LCM(4249,4256) = 2583392
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 4249 and 4256. First we will calculate the prime factors of 4249 and 4256.
Prime Factorization of 4249
7 | 4249 |
607 | 607 |
1 |
Prime factors of 4249 are 7,607. Prime factorization of 4249 in exponential form is:
4249 = 71×6071
Prime Factorization of 4256
2 | 4256 |
2 | 2128 |
2 | 1064 |
2 | 532 |
2 | 266 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 4256 are 2, 7,19. Prime factorization of 4256 in exponential form is:
4256 = 25×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4249 and 4256.
LCM(4249,4256) = 25×71×191×6071
LCM(4249,4256) = 2583392
Factors of 4249
List of positive integer factors of 4249 that divides 4249 without a remainder.
1, 7, 607, 4249
Factors of 4256
List of positive integer factors of 4256 that divides 4256 without a remainder.
1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4249 and 4256, than apply into the LCM equation.
GCF(4249,4256) = 7
LCM(4249,4256) = ( 4249 × 4256) / 7
LCM(4249,4256) = 18083744 / 7
LCM(4249,4256) = 2583392
(i) The LCM of 4256 and 4249 is associative
LCM of 4249 and 4256 = LCM of 4256 and 4249
1. What is the LCM of 4249 and 4256?
Answer: LCM of 4249 and 4256 is 2583392.
2. What are the Factors of 4249?
Answer: Factors of 4249 are 1, 7, 607, 4249. There are 4 integers that are factors of 4249. The greatest factor of 4249 is 4249.
3. What are the Factors of 4256?
Answer: Factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256. There are 24 integers that are factors of 4256. The greatest factor of 4256 is 4256.
4. How to Find the LCM of 4249 and 4256?
Answer:
Least Common Multiple of 4249 and 4256 = 2583392
Step 1: Find the prime factorization of 4249
4249 = 7 x 607
Step 2: Find the prime factorization of 4256
4256 = 2 x 2 x 2 x 2 x 2 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2583392 = 2 x 2 x 2 x 2 x 2 x 7 x 19 x 607
Step 4: Therefore, the least common multiple of 4249 and 4256 is 2583392.