Least Common Multiple of 30017 and 30023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 30017 and 30023 the smallest integer that is 901200391 that is divisible by both numbers.
Least Common Multiple (LCM) of 30017 and 30023 is 901200391.
LCM(30017,30023) = 901200391
LCM of 30017 and 30023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 30017 and 30023 by Prime method
- Least Common Multiple of 30017 and 30023 with GCF Formula
LCM of 30017 and 30023 is 901200391
Least common multiple can be found by multiplying the highest exponent prime factors of 30017 and 30023. First we will calculate the prime factors of 30017 and 30023.
Prime Factorization of 30017
| 13 | 30017 |
| 2309 | 2309 |
| 1 |
Prime factors of 30017 are 13,2309. Prime factorization of 30017 in exponential form is:
30017 = 131×23091
Prime Factorization of 30023
| 7 | 30023 |
| 4289 | 4289 |
| 1 |
Prime factors of 30023 are 7,4289. Prime factorization of 30023 in exponential form is:
30023 = 71×42891
Now multiplying the highest exponent prime factors to calculate the LCM of 30017 and 30023.
LCM(30017,30023) = 71×131×23091×42891
LCM(30017,30023) = 901200391
Factors of 30017
List of positive integer factors of 30017 that divides 30017 without a remainder.
1, 13, 2309, 30017
Factors of 30023
List of positive integer factors of 30023 that divides 30023 without a remainder.
1, 7, 4289, 30023
Least Common Multiple of 30017 and 30023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30017 and 30023, than apply into the LCM equation.
GCF(30017,30023) = 1
LCM(30017,30023) = ( 30017 × 30023) / 1
LCM(30017,30023) = 901200391 / 1
LCM(30017,30023) = 901200391
Properties of LCM 30017 and 30023
(i) The LCM of 30023 and 30017 is associative
LCM of 30017 and 30023 = LCM of 30023 and 30017
Related Least Common Multiples of 30017
Related Least Common Multiples of 30023
Frequently Asked Questions on LCM of 30017 and 30023
1. What is the LCM of 30017 and 30023?
Answer: LCM of 30017 and 30023 is 901200391.
2. What are the Factors of 30017?
Answer: Factors of 30017 are 1, 13, 2309, 30017. There are 4 integers that are factors of 30017. The greatest factor of 30017 is 30017.
3. What are the Factors of 30023?
Answer: Factors of 30023 are 1, 7, 4289, 30023. There are 4 integers that are factors of 30023. The greatest factor of 30023 is 30023.
4. How to Find the LCM of 30017 and 30023?
Answer:
Least Common Multiple of 30017 and 30023 = 901200391
Step 1: Find the prime factorization of 30017
30017 = 13 x 2309
Step 2: Find the prime factorization of 30023
30023 = 7 x 4289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 901200391 = 7 x 13 x 2309 x 4289
Step 4: Therefore, the least common multiple of 30017 and 30023 is 901200391.