Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4010 and 4013 the smallest integer that is 16092130 that is divisible by both numbers.
Least Common Multiple (LCM) of 4010 and 4013 is 16092130.
LCM(4010,4013) = 16092130
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 4010 and 4013. First we will calculate the prime factors of 4010 and 4013.
Prime Factorization of 4010
2 | 4010 |
5 | 2005 |
401 | 401 |
1 |
Prime factors of 4010 are 2, 5,401. Prime factorization of 4010 in exponential form is:
4010 = 21×51×4011
Prime Factorization of 4013
4013 | 4013 |
1 |
Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:
4013 = 40131
Now multiplying the highest exponent prime factors to calculate the LCM of 4010 and 4013.
LCM(4010,4013) = 21×51×4011×40131
LCM(4010,4013) = 16092130
Factors of 4010
List of positive integer factors of 4010 that divides 4010 without a remainder.
1, 2, 5, 10, 401, 802, 2005, 4010
Factors of 4013
List of positive integer factors of 4013 that divides 4013 without a remainder.
1, 4013
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4010 and 4013, than apply into the LCM equation.
GCF(4010,4013) = 1
LCM(4010,4013) = ( 4010 × 4013) / 1
LCM(4010,4013) = 16092130 / 1
LCM(4010,4013) = 16092130
(i) The LCM of 4013 and 4010 is associative
LCM of 4010 and 4013 = LCM of 4013 and 4010
1. What is the LCM of 4010 and 4013?
Answer: LCM of 4010 and 4013 is 16092130.
2. What are the Factors of 4010?
Answer: Factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010. There are 8 integers that are factors of 4010. The greatest factor of 4010 is 4010.
3. What are the Factors of 4013?
Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.
4. How to Find the LCM of 4010 and 4013?
Answer:
Least Common Multiple of 4010 and 4013 = 16092130
Step 1: Find the prime factorization of 4010
4010 = 2 x 5 x 401
Step 2: Find the prime factorization of 4013
4013 = 4013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16092130 = 2 x 5 x 401 x 4013
Step 4: Therefore, the least common multiple of 4010 and 4013 is 16092130.