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 6047 the smallest integer that is 36560162 that is divisible by both numbers.
Least Common Multiple (LCM) of 6046 and 6047 is 36560162.
LCM(6046,6047) = 36560162
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 6046 and 6047. First we will calculate the prime factors of 6046 and 6047.
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 6047
6047 | 6047 |
1 |
Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:
6047 = 60471
Now multiplying the highest exponent prime factors to calculate the LCM of 6046 and 6047.
LCM(6046,6047) = 21×30231×60471
LCM(6046,6047) = 36560162
Factors of 6046
List of positive integer factors of 6046 that divides 6046 without a remainder.
1, 2, 3023, 6046
Factors of 6047
List of positive integer factors of 6047 that divides 6047 without a remainder.
1, 6047
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6046 and 6047, than apply into the LCM equation.
GCF(6046,6047) = 1
LCM(6046,6047) = ( 6046 × 6047) / 1
LCM(6046,6047) = 36560162 / 1
LCM(6046,6047) = 36560162
(i) The LCM of 6047 and 6046 is associative
LCM of 6046 and 6047 = LCM of 6047 and 6046
1. What is the LCM of 6046 and 6047?
Answer: LCM of 6046 and 6047 is 36560162.
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 6047?
Answer: Factors of 6047 are 1, 6047. There are 2 integers that are factors of 6047. The greatest factor of 6047 is 6047.
4. How to Find the LCM of 6046 and 6047?
Answer:
Least Common Multiple of 6046 and 6047 = 36560162
Step 1: Find the prime factorization of 6046
6046 = 2 x 3023
Step 2: Find the prime factorization of 6047
6047 = 6047
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36560162 = 2 x 3023 x 6047
Step 4: Therefore, the least common multiple of 6046 and 6047 is 36560162.