Least Common Multiple of 36015 and 36022
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 36022 the smallest integer that is 185333190 that is divisible by both numbers.
Least Common Multiple (LCM) of 36015 and 36022 is 185333190.
LCM(36015,36022) = 185333190
LCM of 36015 and 36022
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36015 and 36022 by Prime method
- Least Common Multiple of 36015 and 36022 with GCF Formula
LCM of 36015 and 36022 is 185333190
Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36022. First we will calculate the prime factors of 36015 and 36022.
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 36022
| 2 | 36022 |
| 7 | 18011 |
| 31 | 2573 |
| 83 | 83 |
| 1 |
Prime factors of 36022 are 2, 7, 31,83. Prime factorization of 36022 in exponential form is:
36022 = 21×71×311×831
Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36022.
LCM(36015,36022) = 21×31×51×74×311×831
LCM(36015,36022) = 185333190
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 36022
List of positive integer factors of 36022 that divides 36022 without a remainder.
1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022
Least Common Multiple of 36015 and 36022 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 36022, than apply into the LCM equation.
GCF(36015,36022) = 7
LCM(36015,36022) = ( 36015 × 36022) / 7
LCM(36015,36022) = 1297332330 / 7
LCM(36015,36022) = 185333190
Properties of LCM 36015 and 36022
(i) The LCM of 36022 and 36015 is associative
LCM of 36015 and 36022 = LCM of 36022 and 36015
Related Least Common Multiples of 36015
Related Least Common Multiples of 36022
Frequently Asked Questions on LCM of 36015 and 36022
1. What is the LCM of 36015 and 36022?
Answer: LCM of 36015 and 36022 is 185333190.
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 36022?
Answer: Factors of 36022 are 1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022. There are 16 integers that are factors of 36022. The greatest factor of 36022 is 36022.
4. How to Find the LCM of 36015 and 36022?
Answer:
Least Common Multiple of 36015 and 36022 = 185333190
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 36022
36022 = 2 x 7 x 31 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 185333190 = 2 x 3 x 5 x 7 x 7 x 7 x 7 x 31 x 83
Step 4: Therefore, the least common multiple of 36015 and 36022 is 185333190.