Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6005 and 6010 the smallest integer that is 7218010 that is divisible by both numbers.
Least Common Multiple (LCM) of 6005 and 6010 is 7218010.
LCM(6005,6010) = 7218010
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 6005 and 6010. First we will calculate the prime factors of 6005 and 6010.
Prime Factorization of 6005
5 | 6005 |
1201 | 1201 |
1 |
Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:
6005 = 51×12011
Prime Factorization of 6010
2 | 6010 |
5 | 3005 |
601 | 601 |
1 |
Prime factors of 6010 are 2, 5,601. Prime factorization of 6010 in exponential form is:
6010 = 21×51×6011
Now multiplying the highest exponent prime factors to calculate the LCM of 6005 and 6010.
LCM(6005,6010) = 21×51×6011×12011
LCM(6005,6010) = 7218010
Factors of 6005
List of positive integer factors of 6005 that divides 6005 without a remainder.
1, 5, 1201, 6005
Factors of 6010
List of positive integer factors of 6010 that divides 6010 without a remainder.
1, 2, 5, 10, 601, 1202, 3005, 6010
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6005 and 6010, than apply into the LCM equation.
GCF(6005,6010) = 5
LCM(6005,6010) = ( 6005 × 6010) / 5
LCM(6005,6010) = 36090050 / 5
LCM(6005,6010) = 7218010
(i) The LCM of 6010 and 6005 is associative
LCM of 6005 and 6010 = LCM of 6010 and 6005
1. What is the LCM of 6005 and 6010?
Answer: LCM of 6005 and 6010 is 7218010.
2. What are the Factors of 6005?
Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.
3. What are the Factors of 6010?
Answer: Factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010. There are 8 integers that are factors of 6010. The greatest factor of 6010 is 6010.
4. How to Find the LCM of 6005 and 6010?
Answer:
Least Common Multiple of 6005 and 6010 = 7218010
Step 1: Find the prime factorization of 6005
6005 = 5 x 1201
Step 2: Find the prime factorization of 6010
6010 = 2 x 5 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7218010 = 2 x 5 x 601 x 1201
Step 4: Therefore, the least common multiple of 6005 and 6010 is 7218010.