Least Common Multiple of 36015 and 36021
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36015 and 36021 the smallest integer that is 432432105 that is divisible by both numbers.
Least Common Multiple (LCM) of 36015 and 36021 is 432432105.
LCM(36015,36021) = 432432105
LCM of 36015 and 36021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36015 and 36021 by Prime method
- Least Common Multiple of 36015 and 36021 with GCF Formula
LCM of 36015 and 36021 is 432432105
Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36021. First we will calculate the prime factors of 36015 and 36021.
Prime Factorization of 36015
| 3 | 36015 |
| 5 | 12005 |
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 36015 are 3, 5,7. Prime factorization of 36015 in exponential form is:
36015 = 31×51×74
Prime Factorization of 36021
| 3 | 36021 |
| 12007 | 12007 |
| 1 |
Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:
36021 = 31×120071
Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36021.
LCM(36015,36021) = 31×51×74×120071
LCM(36015,36021) = 432432105
Factors of 36015
List of positive integer factors of 36015 that divides 36015 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005, 36015
Factors of 36021
List of positive integer factors of 36021 that divides 36021 without a remainder.
1, 3, 12007, 36021
Least Common Multiple of 36015 and 36021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36015 and 36021, than apply into the LCM equation.
GCF(36015,36021) = 3
LCM(36015,36021) = ( 36015 × 36021) / 3
LCM(36015,36021) = 1297296315 / 3
LCM(36015,36021) = 432432105
Properties of LCM 36015 and 36021
(i) The LCM of 36021 and 36015 is associative
LCM of 36015 and 36021 = LCM of 36021 and 36015
Related Least Common Multiples of 36015
Related Least Common Multiples of 36021
Frequently Asked Questions on LCM of 36015 and 36021
1. What is the LCM of 36015 and 36021?
Answer: LCM of 36015 and 36021 is 432432105.
2. What are the Factors of 36015?
Answer: Factors of 36015 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005, 36015. There are 20 integers that are factors of 36015. The greatest factor of 36015 is 36015.
3. What are the Factors of 36021?
Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.
4. How to Find the LCM of 36015 and 36021?
Answer:
Least Common Multiple of 36015 and 36021 = 432432105
Step 1: Find the prime factorization of 36015
36015 = 3 x 5 x 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 36021
36021 = 3 x 12007
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 432432105 = 3 x 5 x 7 x 7 x 7 x 7 x 12007
Step 4: Therefore, the least common multiple of 36015 and 36021 is 432432105.