Least Common Multiple of 40049 and 40055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40049 and 40055 the smallest integer that is 1604162695 that is divisible by both numbers.
Least Common Multiple (LCM) of 40049 and 40055 is 1604162695.
LCM(40049,40055) = 1604162695
LCM of 40049 and 40055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 40049 and 40055 by Prime method
- Least Common Multiple of 40049 and 40055 with GCF Formula
LCM of 40049 and 40055 is 1604162695
Least common multiple can be found by multiplying the highest exponent prime factors of 40049 and 40055. First we will calculate the prime factors of 40049 and 40055.
Prime Factorization of 40049
| 29 | 40049 |
| 1381 | 1381 |
| 1 |
Prime factors of 40049 are 29,1381. Prime factorization of 40049 in exponential form is:
40049 = 291×13811
Prime Factorization of 40055
| 5 | 40055 |
| 8011 | 8011 |
| 1 |
Prime factors of 40055 are 5,8011. Prime factorization of 40055 in exponential form is:
40055 = 51×80111
Now multiplying the highest exponent prime factors to calculate the LCM of 40049 and 40055.
LCM(40049,40055) = 51×291×13811×80111
LCM(40049,40055) = 1604162695
Factors of 40049
List of positive integer factors of 40049 that divides 40049 without a remainder.
1, 29, 1381, 40049
Factors of 40055
List of positive integer factors of 40055 that divides 40055 without a remainder.
1, 5, 8011, 40055
Least Common Multiple of 40049 and 40055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40049 and 40055, than apply into the LCM equation.
GCF(40049,40055) = 1
LCM(40049,40055) = ( 40049 × 40055) / 1
LCM(40049,40055) = 1604162695 / 1
LCM(40049,40055) = 1604162695
Properties of LCM 40049 and 40055
(i) The LCM of 40055 and 40049 is associative
LCM of 40049 and 40055 = LCM of 40055 and 40049
Related Least Common Multiples of 40049
Related Least Common Multiples of 40055
Frequently Asked Questions on LCM of 40049 and 40055
1. What is the LCM of 40049 and 40055?
Answer: LCM of 40049 and 40055 is 1604162695.
2. What are the Factors of 40049?
Answer: Factors of 40049 are 1, 29, 1381, 40049. There are 4 integers that are factors of 40049. The greatest factor of 40049 is 40049.
3. What are the Factors of 40055?
Answer: Factors of 40055 are 1, 5, 8011, 40055. There are 4 integers that are factors of 40055. The greatest factor of 40055 is 40055.
4. How to Find the LCM of 40049 and 40055?
Answer:
Least Common Multiple of 40049 and 40055 = 1604162695
Step 1: Find the prime factorization of 40049
40049 = 29 x 1381
Step 2: Find the prime factorization of 40055
40055 = 5 x 8011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1604162695 = 5 x 29 x 1381 x 8011
Step 4: Therefore, the least common multiple of 40049 and 40055 is 1604162695.