Least Common Multiple of 36033 and 36041
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36033 and 36041 the smallest integer that is 1298665353 that is divisible by both numbers.
Least Common Multiple (LCM) of 36033 and 36041 is 1298665353.
LCM(36033,36041) = 1298665353
LCM of 36033 and 36041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36033 and 36041 by Prime method
- Least Common Multiple of 36033 and 36041 with GCF Formula
LCM of 36033 and 36041 is 1298665353
Least common multiple can be found by multiplying the highest exponent prime factors of 36033 and 36041. First we will calculate the prime factors of 36033 and 36041.
Prime Factorization of 36033
| 3 | 36033 |
| 12011 | 12011 |
| 1 |
Prime factors of 36033 are 3,12011. Prime factorization of 36033 in exponential form is:
36033 = 31×120111
Prime Factorization of 36041
| 23 | 36041 |
| 1567 | 1567 |
| 1 |
Prime factors of 36041 are 23,1567. Prime factorization of 36041 in exponential form is:
36041 = 231×15671
Now multiplying the highest exponent prime factors to calculate the LCM of 36033 and 36041.
LCM(36033,36041) = 31×231×15671×120111
LCM(36033,36041) = 1298665353
Factors of 36033
List of positive integer factors of 36033 that divides 36033 without a remainder.
1, 3, 12011, 36033
Factors of 36041
List of positive integer factors of 36041 that divides 36041 without a remainder.
1, 23, 1567, 36041
Least Common Multiple of 36033 and 36041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36033 and 36041, than apply into the LCM equation.
GCF(36033,36041) = 1
LCM(36033,36041) = ( 36033 × 36041) / 1
LCM(36033,36041) = 1298665353 / 1
LCM(36033,36041) = 1298665353
Properties of LCM 36033 and 36041
(i) The LCM of 36041 and 36033 is associative
LCM of 36033 and 36041 = LCM of 36041 and 36033
Related Least Common Multiples of 36033
Related Least Common Multiples of 36041
Frequently Asked Questions on LCM of 36033 and 36041
1. What is the LCM of 36033 and 36041?
Answer: LCM of 36033 and 36041 is 1298665353.
2. What are the Factors of 36033?
Answer: Factors of 36033 are 1, 3, 12011, 36033. There are 4 integers that are factors of 36033. The greatest factor of 36033 is 36033.
3. What are the Factors of 36041?
Answer: Factors of 36041 are 1, 23, 1567, 36041. There are 4 integers that are factors of 36041. The greatest factor of 36041 is 36041.
4. How to Find the LCM of 36033 and 36041?
Answer:
Least Common Multiple of 36033 and 36041 = 1298665353
Step 1: Find the prime factorization of 36033
36033 = 3 x 12011
Step 2: Find the prime factorization of 36041
36041 = 23 x 1567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1298665353 = 3 x 23 x 1567 x 12011
Step 4: Therefore, the least common multiple of 36033 and 36041 is 1298665353.