Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6049 and 6056 the smallest integer that is 36632744 that is divisible by both numbers.
Least Common Multiple (LCM) of 6049 and 6056 is 36632744.
LCM(6049,6056) = 36632744
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 6049 and 6056. First we will calculate the prime factors of 6049 and 6056.
Prime Factorization of 6049
23 | 6049 |
263 | 263 |
1 |
Prime factors of 6049 are 23,263. Prime factorization of 6049 in exponential form is:
6049 = 231×2631
Prime Factorization of 6056
2 | 6056 |
2 | 3028 |
2 | 1514 |
757 | 757 |
1 |
Prime factors of 6056 are 2,757. Prime factorization of 6056 in exponential form is:
6056 = 23×7571
Now multiplying the highest exponent prime factors to calculate the LCM of 6049 and 6056.
LCM(6049,6056) = 23×231×2631×7571
LCM(6049,6056) = 36632744
Factors of 6049
List of positive integer factors of 6049 that divides 6049 without a remainder.
1, 23, 263, 6049
Factors of 6056
List of positive integer factors of 6056 that divides 6056 without a remainder.
1, 2, 4, 8, 757, 1514, 3028, 6056
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6049 and 6056, than apply into the LCM equation.
GCF(6049,6056) = 1
LCM(6049,6056) = ( 6049 × 6056) / 1
LCM(6049,6056) = 36632744 / 1
LCM(6049,6056) = 36632744
(i) The LCM of 6056 and 6049 is associative
LCM of 6049 and 6056 = LCM of 6056 and 6049
1. What is the LCM of 6049 and 6056?
Answer: LCM of 6049 and 6056 is 36632744.
2. What are the Factors of 6049?
Answer: Factors of 6049 are 1, 23, 263, 6049. There are 4 integers that are factors of 6049. The greatest factor of 6049 is 6049.
3. What are the Factors of 6056?
Answer: Factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056. There are 8 integers that are factors of 6056. The greatest factor of 6056 is 6056.
4. How to Find the LCM of 6049 and 6056?
Answer:
Least Common Multiple of 6049 and 6056 = 36632744
Step 1: Find the prime factorization of 6049
6049 = 23 x 263
Step 2: Find the prime factorization of 6056
6056 = 2 x 2 x 2 x 757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36632744 = 2 x 2 x 2 x 23 x 263 x 757
Step 4: Therefore, the least common multiple of 6049 and 6056 is 36632744.