Least Common Multiple of 40013 and 40021
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40013 and 40021 the smallest integer that is 1601360273 that is divisible by both numbers.
Least Common Multiple (LCM) of 40013 and 40021 is 1601360273.
LCM(40013,40021) = 1601360273
LCM of 40013 and 40021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 40013 and 40021 by Prime method
- Least Common Multiple of 40013 and 40021 with GCF Formula
LCM of 40013 and 40021 is 1601360273
Least common multiple can be found by multiplying the highest exponent prime factors of 40013 and 40021. First we will calculate the prime factors of 40013 and 40021.
Prime Factorization of 40013
| 40013 | 40013 |
| 1 |
Prime factors of 40013 are 40013. Prime factorization of 40013 in exponential form is:
40013 = 400131
Prime Factorization of 40021
| 31 | 40021 |
| 1291 | 1291 |
| 1 |
Prime factors of 40021 are 31,1291. Prime factorization of 40021 in exponential form is:
40021 = 311×12911
Now multiplying the highest exponent prime factors to calculate the LCM of 40013 and 40021.
LCM(40013,40021) = 311×12911×400131
LCM(40013,40021) = 1601360273
Factors of 40013
List of positive integer factors of 40013 that divides 40013 without a remainder.
1, 40013
Factors of 40021
List of positive integer factors of 40021 that divides 40021 without a remainder.
1, 31, 1291, 40021
Least Common Multiple of 40013 and 40021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40013 and 40021, than apply into the LCM equation.
GCF(40013,40021) = 1
LCM(40013,40021) = ( 40013 × 40021) / 1
LCM(40013,40021) = 1601360273 / 1
LCM(40013,40021) = 1601360273
Properties of LCM 40013 and 40021
(i) The LCM of 40021 and 40013 is associative
LCM of 40013 and 40021 = LCM of 40021 and 40013
Related Least Common Multiples of 40013
Related Least Common Multiples of 40021
Frequently Asked Questions on LCM of 40013 and 40021
1. What is the LCM of 40013 and 40021?
Answer: LCM of 40013 and 40021 is 1601360273.
2. 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.
3. What are the Factors of 40021?
Answer: Factors of 40021 are 1, 31, 1291, 40021. There are 4 integers that are factors of 40021. The greatest factor of 40021 is 40021.
4. How to Find the LCM of 40013 and 40021?
Answer:
Least Common Multiple of 40013 and 40021 = 1601360273
Step 1: Find the prime factorization of 40013
40013 = 40013
Step 2: Find the prime factorization of 40021
40021 = 31 x 1291
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1601360273 = 31 x 1291 x 40013
Step 4: Therefore, the least common multiple of 40013 and 40021 is 1601360273.