Least Common Multiple of 36015 and 36023
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 36023 the smallest integer that is 1297368345 that is divisible by both numbers.
Least Common Multiple (LCM) of 36015 and 36023 is 1297368345.
LCM(36015,36023) = 1297368345
LCM of 36015 and 36023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36015 and 36023 by Prime method
- Least Common Multiple of 36015 and 36023 with GCF Formula
LCM of 36015 and 36023 is 1297368345
Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36023. First we will calculate the prime factors of 36015 and 36023.
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 36023
| 13 | 36023 |
| 17 | 2771 |
| 163 | 163 |
| 1 |
Prime factors of 36023 are 13, 17,163. Prime factorization of 36023 in exponential form is:
36023 = 131×171×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36023.
LCM(36015,36023) = 31×51×74×131×171×1631
LCM(36015,36023) = 1297368345
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 36023
List of positive integer factors of 36023 that divides 36023 without a remainder.
1, 13, 17, 163, 221, 2119, 2771, 36023
Least Common Multiple of 36015 and 36023 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 36023, than apply into the LCM equation.
GCF(36015,36023) = 1
LCM(36015,36023) = ( 36015 × 36023) / 1
LCM(36015,36023) = 1297368345 / 1
LCM(36015,36023) = 1297368345
Properties of LCM 36015 and 36023
(i) The LCM of 36023 and 36015 is associative
LCM of 36015 and 36023 = LCM of 36023 and 36015
Related Least Common Multiples of 36015
Related Least Common Multiples of 36023
Frequently Asked Questions on LCM of 36015 and 36023
1. What is the LCM of 36015 and 36023?
Answer: LCM of 36015 and 36023 is 1297368345.
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 36023?
Answer: Factors of 36023 are 1, 13, 17, 163, 221, 2119, 2771, 36023. There are 8 integers that are factors of 36023. The greatest factor of 36023 is 36023.
4. How to Find the LCM of 36015 and 36023?
Answer:
Least Common Multiple of 36015 and 36023 = 1297368345
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 36023
36023 = 13 x 17 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1297368345 = 3 x 5 x 7 x 7 x 7 x 7 x 13 x 17 x 163
Step 4: Therefore, the least common multiple of 36015 and 36023 is 1297368345.