Least Common Multiple of 36015 and 36020
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 36020 the smallest integer that is 259452060 that is divisible by both numbers.
Least Common Multiple (LCM) of 36015 and 36020 is 259452060.
LCM(36015,36020) = 259452060
LCM of 36015 and 36020
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36015 and 36020 by Prime method
- Least Common Multiple of 36015 and 36020 with GCF Formula
LCM of 36015 and 36020 is 259452060
Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36020. First we will calculate the prime factors of 36015 and 36020.
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 36020
| 2 | 36020 |
| 2 | 18010 |
| 5 | 9005 |
| 1801 | 1801 |
| 1 |
Prime factors of 36020 are 2, 5,1801. Prime factorization of 36020 in exponential form is:
36020 = 22×51×18011
Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36020.
LCM(36015,36020) = 22×31×51×74×18011
LCM(36015,36020) = 259452060
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 36020
List of positive integer factors of 36020 that divides 36020 without a remainder.
1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020
Least Common Multiple of 36015 and 36020 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 36020, than apply into the LCM equation.
GCF(36015,36020) = 5
LCM(36015,36020) = ( 36015 × 36020) / 5
LCM(36015,36020) = 1297260300 / 5
LCM(36015,36020) = 259452060
Properties of LCM 36015 and 36020
(i) The LCM of 36020 and 36015 is associative
LCM of 36015 and 36020 = LCM of 36020 and 36015
Related Least Common Multiples of 36015
Related Least Common Multiples of 36020
Frequently Asked Questions on LCM of 36015 and 36020
1. What is the LCM of 36015 and 36020?
Answer: LCM of 36015 and 36020 is 259452060.
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 36020?
Answer: Factors of 36020 are 1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020. There are 12 integers that are factors of 36020. The greatest factor of 36020 is 36020.
4. How to Find the LCM of 36015 and 36020?
Answer:
Least Common Multiple of 36015 and 36020 = 259452060
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 36020
36020 = 2 x 2 x 5 x 1801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 259452060 = 2 x 2 x 3 x 5 x 7 x 7 x 7 x 7 x 1801
Step 4: Therefore, the least common multiple of 36015 and 36020 is 259452060.