Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2848 and 2849 the smallest integer that is 8113952 that is divisible by both numbers.
Least Common Multiple (LCM) of 2848 and 2849 is 8113952.
LCM(2848,2849) = 8113952
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 2848 and 2849. First we will calculate the prime factors of 2848 and 2849.
Prime Factorization of 2848
2 | 2848 |
2 | 1424 |
2 | 712 |
2 | 356 |
2 | 178 |
89 | 89 |
1 |
Prime factors of 2848 are 2,89. Prime factorization of 2848 in exponential form is:
2848 = 25×891
Prime Factorization of 2849
7 | 2849 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 2849 are 7, 11,37. Prime factorization of 2849 in exponential form is:
2849 = 71×111×371
Now multiplying the highest exponent prime factors to calculate the LCM of 2848 and 2849.
LCM(2848,2849) = 25×71×111×371×891
LCM(2848,2849) = 8113952
Factors of 2848
List of positive integer factors of 2848 that divides 2848 without a remainder.
1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848
Factors of 2849
List of positive integer factors of 2849 that divides 2849 without a remainder.
1, 7, 11, 37, 77, 259, 407, 2849
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2848 and 2849, than apply into the LCM equation.
GCF(2848,2849) = 1
LCM(2848,2849) = ( 2848 × 2849) / 1
LCM(2848,2849) = 8113952 / 1
LCM(2848,2849) = 8113952
(i) The LCM of 2849 and 2848 is associative
LCM of 2848 and 2849 = LCM of 2849 and 2848
1. What is the LCM of 2848 and 2849?
Answer: LCM of 2848 and 2849 is 8113952.
2. What are the Factors of 2848?
Answer: Factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848. There are 12 integers that are factors of 2848. The greatest factor of 2848 is 2848.
3. What are the Factors of 2849?
Answer: Factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849. There are 8 integers that are factors of 2849. The greatest factor of 2849 is 2849.
4. How to Find the LCM of 2848 and 2849?
Answer:
Least Common Multiple of 2848 and 2849 = 8113952
Step 1: Find the prime factorization of 2848
2848 = 2 x 2 x 2 x 2 x 2 x 89
Step 2: Find the prime factorization of 2849
2849 = 7 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8113952 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 37 x 89
Step 4: Therefore, the least common multiple of 2848 and 2849 is 8113952.