Least Common Multiple of 27041 and 27049
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 27041 and 27049 the smallest integer that is 731432009 that is divisible by both numbers.
Least Common Multiple (LCM) of 27041 and 27049 is 731432009.
LCM(27041,27049) = 731432009
LCM of 27041 and 27049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 27041 and 27049 by Prime method
- Least Common Multiple of 27041 and 27049 with GCF Formula
LCM of 27041 and 27049 is 731432009
Least common multiple can be found by multiplying the highest exponent prime factors of 27041 and 27049. First we will calculate the prime factors of 27041 and 27049.
Prime Factorization of 27041
| 7 | 27041 |
| 3863 | 3863 |
| 1 |
Prime factors of 27041 are 7,3863. Prime factorization of 27041 in exponential form is:
27041 = 71×38631
Prime Factorization of 27049
| 11 | 27049 |
| 2459 | 2459 |
| 1 |
Prime factors of 27049 are 11,2459. Prime factorization of 27049 in exponential form is:
27049 = 111×24591
Now multiplying the highest exponent prime factors to calculate the LCM of 27041 and 27049.
LCM(27041,27049) = 71×111×24591×38631
LCM(27041,27049) = 731432009
Factors of 27041
List of positive integer factors of 27041 that divides 27041 without a remainder.
1, 7, 3863, 27041
Factors of 27049
List of positive integer factors of 27049 that divides 27049 without a remainder.
1, 11, 2459, 27049
Least Common Multiple of 27041 and 27049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27041 and 27049, than apply into the LCM equation.
GCF(27041,27049) = 1
LCM(27041,27049) = ( 27041 × 27049) / 1
LCM(27041,27049) = 731432009 / 1
LCM(27041,27049) = 731432009
Properties of LCM 27041 and 27049
(i) The LCM of 27049 and 27041 is associative
LCM of 27041 and 27049 = LCM of 27049 and 27041
Related Least Common Multiples of 27041
Related Least Common Multiples of 27049
Frequently Asked Questions on LCM of 27041 and 27049
1. What is the LCM of 27041 and 27049?
Answer: LCM of 27041 and 27049 is 731432009.
2. What are the Factors of 27041?
Answer: Factors of 27041 are 1, 7, 3863, 27041. There are 4 integers that are factors of 27041. The greatest factor of 27041 is 27041.
3. What are the Factors of 27049?
Answer: Factors of 27049 are 1, 11, 2459, 27049. There are 4 integers that are factors of 27049. The greatest factor of 27049 is 27049.
4. How to Find the LCM of 27041 and 27049?
Answer:
Least Common Multiple of 27041 and 27049 = 731432009
Step 1: Find the prime factorization of 27041
27041 = 7 x 3863
Step 2: Find the prime factorization of 27049
27049 = 11 x 2459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 731432009 = 7 x 11 x 2459 x 3863
Step 4: Therefore, the least common multiple of 27041 and 27049 is 731432009.