Least Common Multiple of 40006 and 40013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40006 and 40013 the smallest integer that is 1600760078 that is divisible by both numbers.
Least Common Multiple (LCM) of 40006 and 40013 is 1600760078.
LCM(40006,40013) = 1600760078
LCM of 40006 and 40013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 40006 and 40013 by Prime method
- Least Common Multiple of 40006 and 40013 with GCF Formula
LCM of 40006 and 40013 is 1600760078
Least common multiple can be found by multiplying the highest exponent prime factors of 40006 and 40013. First we will calculate the prime factors of 40006 and 40013.
Prime Factorization of 40006
| 2 | 40006 |
| 83 | 20003 |
| 241 | 241 |
| 1 |
Prime factors of 40006 are 2, 83,241. Prime factorization of 40006 in exponential form is:
40006 = 21×831×2411
Prime Factorization of 40013
| 40013 | 40013 |
| 1 |
Prime factors of 40013 are 40013. Prime factorization of 40013 in exponential form is:
40013 = 400131
Now multiplying the highest exponent prime factors to calculate the LCM of 40006 and 40013.
LCM(40006,40013) = 21×831×2411×400131
LCM(40006,40013) = 1600760078
Factors of 40006
List of positive integer factors of 40006 that divides 40006 without a remainder.
1, 2, 83, 166, 241, 482, 20003, 40006
Factors of 40013
List of positive integer factors of 40013 that divides 40013 without a remainder.
1, 40013
Least Common Multiple of 40006 and 40013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40006 and 40013, than apply into the LCM equation.
GCF(40006,40013) = 1
LCM(40006,40013) = ( 40006 × 40013) / 1
LCM(40006,40013) = 1600760078 / 1
LCM(40006,40013) = 1600760078
Properties of LCM 40006 and 40013
(i) The LCM of 40013 and 40006 is associative
LCM of 40006 and 40013 = LCM of 40013 and 40006
Related Least Common Multiples of 40006
Related Least Common Multiples of 40013
Frequently Asked Questions on LCM of 40006 and 40013
1. What is the LCM of 40006 and 40013?
Answer: LCM of 40006 and 40013 is 1600760078.
2. What are the Factors of 40006?
Answer: Factors of 40006 are 1, 2, 83, 166, 241, 482, 20003, 40006. There are 8 integers that are factors of 40006. The greatest factor of 40006 is 40006.
3. What are the Factors of 40013?
Answer: Factors of 40013 are 1, 40013. There are 2 integers that are factors of 40013. The greatest factor of 40013 is 40013.
4. How to Find the LCM of 40006 and 40013?
Answer:
Least Common Multiple of 40006 and 40013 = 1600760078
Step 1: Find the prime factorization of 40006
40006 = 2 x 83 x 241
Step 2: Find the prime factorization of 40013
40013 = 40013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1600760078 = 2 x 83 x 241 x 40013
Step 4: Therefore, the least common multiple of 40006 and 40013 is 1600760078.