Least Common Multiple of 40011 and 40019
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40011 and 40019 the smallest integer that is 1601200209 that is divisible by both numbers.
Least Common Multiple (LCM) of 40011 and 40019 is 1601200209.
LCM(40011,40019) = 1601200209
LCM of 40011 and 40019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 40011 and 40019 by Prime method
- Least Common Multiple of 40011 and 40019 with GCF Formula
LCM of 40011 and 40019 is 1601200209
Least common multiple can be found by multiplying the highest exponent prime factors of 40011 and 40019. First we will calculate the prime factors of 40011 and 40019.
Prime Factorization of 40011
| 3 | 40011 |
| 13337 | 13337 |
| 1 |
Prime factors of 40011 are 3,13337. Prime factorization of 40011 in exponential form is:
40011 = 31×133371
Prime Factorization of 40019
| 7 | 40019 |
| 5717 | 5717 |
| 1 |
Prime factors of 40019 are 7,5717. Prime factorization of 40019 in exponential form is:
40019 = 71×57171
Now multiplying the highest exponent prime factors to calculate the LCM of 40011 and 40019.
LCM(40011,40019) = 31×71×57171×133371
LCM(40011,40019) = 1601200209
Factors of 40011
List of positive integer factors of 40011 that divides 40011 without a remainder.
1, 3, 13337, 40011
Factors of 40019
List of positive integer factors of 40019 that divides 40019 without a remainder.
1, 7, 5717, 40019
Least Common Multiple of 40011 and 40019 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40011 and 40019, than apply into the LCM equation.
GCF(40011,40019) = 1
LCM(40011,40019) = ( 40011 × 40019) / 1
LCM(40011,40019) = 1601200209 / 1
LCM(40011,40019) = 1601200209
Properties of LCM 40011 and 40019
(i) The LCM of 40019 and 40011 is associative
LCM of 40011 and 40019 = LCM of 40019 and 40011
Related Least Common Multiples of 40011
Related Least Common Multiples of 40019
Frequently Asked Questions on LCM of 40011 and 40019
1. What is the LCM of 40011 and 40019?
Answer: LCM of 40011 and 40019 is 1601200209.
2. What are the Factors of 40011?
Answer: Factors of 40011 are 1, 3, 13337, 40011. There are 4 integers that are factors of 40011. The greatest factor of 40011 is 40011.
3. What are the Factors of 40019?
Answer: Factors of 40019 are 1, 7, 5717, 40019. There are 4 integers that are factors of 40019. The greatest factor of 40019 is 40019.
4. How to Find the LCM of 40011 and 40019?
Answer:
Least Common Multiple of 40011 and 40019 = 1601200209
Step 1: Find the prime factorization of 40011
40011 = 3 x 13337
Step 2: Find the prime factorization of 40019
40019 = 7 x 5717
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1601200209 = 3 x 7 x 5717 x 13337
Step 4: Therefore, the least common multiple of 40011 and 40019 is 1601200209.