Least Common Multiple of 6042 and 6049
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6042 and 6049 the smallest integer that is 36548058 that is divisible by both numbers.
Least Common Multiple (LCM) of 6042 and 6049 is 36548058.
LCM(6042,6049) = 36548058
LCM of 6042 and 6049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6042 and 6049 by Prime method
- Least Common Multiple of 6042 and 6049 with GCF Formula
LCM of 6042 and 6049 is 36548058
Least common multiple can be found by multiplying the highest exponent prime factors of 6042 and 6049. First we will calculate the prime factors of 6042 and 6049.
Prime Factorization of 6042
| 2 | 6042 |
| 3 | 3021 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 6042 are 2, 3, 19,53. Prime factorization of 6042 in exponential form is:
6042 = 21×31×191×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6042 and 6049.
LCM(6042,6049) = 21×31×191×231×531×2631
LCM(6042,6049) = 36548058
Factors of 6042
List of positive integer factors of 6042 that divides 6042 without a remainder.
1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
Factors of 6049
List of positive integer factors of 6049 that divides 6049 without a remainder.
1, 23, 263, 6049
Least Common Multiple of 6042 and 6049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6042 and 6049, than apply into the LCM equation.
GCF(6042,6049) = 1
LCM(6042,6049) = ( 6042 × 6049) / 1
LCM(6042,6049) = 36548058 / 1
LCM(6042,6049) = 36548058
Properties of LCM 6042 and 6049
(i) The LCM of 6049 and 6042 is associative
LCM of 6042 and 6049 = LCM of 6049 and 6042
Related Least Common Multiples of 6042
Related Least Common Multiples of 6049
Frequently Asked Questions on LCM of 6042 and 6049
1. What is the LCM of 6042 and 6049?
Answer: LCM of 6042 and 6049 is 36548058.
2. What are the Factors of 6042?
Answer: Factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042. There are 16 integers that are factors of 6042. The greatest factor of 6042 is 6042.
3. 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.
4. How to Find the LCM of 6042 and 6049?
Answer:
Least Common Multiple of 6042 and 6049 = 36548058
Step 1: Find the prime factorization of 6042
6042 = 2 x 3 x 19 x 53
Step 2: Find the prime factorization of 6049
6049 = 23 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36548058 = 2 x 3 x 19 x 23 x 53 x 263
Step 4: Therefore, the least common multiple of 6042 and 6049 is 36548058.