Least Common Multiple of 6046 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 6046 and 6049 the smallest integer that is 36572254 that is divisible by both numbers.
Least Common Multiple (LCM) of 6046 and 6049 is 36572254.
LCM(6046,6049) = 36572254
LCM of 6046 and 6049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6046 and 6049 by Prime method
- Least Common Multiple of 6046 and 6049 with GCF Formula
LCM of 6046 and 6049 is 36572254
Least common multiple can be found by multiplying the highest exponent prime factors of 6046 and 6049. First we will calculate the prime factors of 6046 and 6049.
Prime Factorization of 6046
| 2 | 6046 |
| 3023 | 3023 |
| 1 |
Prime factors of 6046 are 2,3023. Prime factorization of 6046 in exponential form is:
6046 = 21×30231
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 6046 and 6049.
LCM(6046,6049) = 21×231×2631×30231
LCM(6046,6049) = 36572254
Factors of 6046
List of positive integer factors of 6046 that divides 6046 without a remainder.
1, 2, 3023, 6046
Factors of 6049
List of positive integer factors of 6049 that divides 6049 without a remainder.
1, 23, 263, 6049
Least Common Multiple of 6046 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 6046 and 6049, than apply into the LCM equation.
GCF(6046,6049) = 1
LCM(6046,6049) = ( 6046 × 6049) / 1
LCM(6046,6049) = 36572254 / 1
LCM(6046,6049) = 36572254
Properties of LCM 6046 and 6049
(i) The LCM of 6049 and 6046 is associative
LCM of 6046 and 6049 = LCM of 6049 and 6046
Related Least Common Multiples of 6046
Related Least Common Multiples of 6049
Frequently Asked Questions on LCM of 6046 and 6049
1. What is the LCM of 6046 and 6049?
Answer: LCM of 6046 and 6049 is 36572254.
2. What are the Factors of 6046?
Answer: Factors of 6046 are 1, 2, 3023, 6046. There are 4 integers that are factors of 6046. The greatest factor of 6046 is 6046.
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 6046 and 6049?
Answer:
Least Common Multiple of 6046 and 6049 = 36572254
Step 1: Find the prime factorization of 6046
6046 = 2 x 3023
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 = 36572254 = 2 x 23 x 263 x 3023
Step 4: Therefore, the least common multiple of 6046 and 6049 is 36572254.