Least Common Multiple of 4017 and 4021
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4017 and 4021 the smallest integer that is 16152357 that is divisible by both numbers.
Least Common Multiple (LCM) of 4017 and 4021 is 16152357.
LCM(4017,4021) = 16152357
LCM of 4017 and 4021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4017 and 4021 by Prime method
- Least Common Multiple of 4017 and 4021 with GCF Formula
LCM of 4017 and 4021 is 16152357
Least common multiple can be found by multiplying the highest exponent prime factors of 4017 and 4021. First we will calculate the prime factors of 4017 and 4021.
Prime Factorization of 4017
| 3 | 4017 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 4017 are 3, 13,103. Prime factorization of 4017 in exponential form is:
4017 = 31×131×1031
Prime Factorization of 4021
| 4021 | 4021 |
| 1 |
Prime factors of 4021 are 4021. Prime factorization of 4021 in exponential form is:
4021 = 40211
Now multiplying the highest exponent prime factors to calculate the LCM of 4017 and 4021.
LCM(4017,4021) = 31×131×1031×40211
LCM(4017,4021) = 16152357
Factors of 4017
List of positive integer factors of 4017 that divides 4017 without a remainder.
1, 3, 13, 39, 103, 309, 1339, 4017
Factors of 4021
List of positive integer factors of 4021 that divides 4021 without a remainder.
1, 4021
Least Common Multiple of 4017 and 4021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4017 and 4021, than apply into the LCM equation.
GCF(4017,4021) = 1
LCM(4017,4021) = ( 4017 × 4021) / 1
LCM(4017,4021) = 16152357 / 1
LCM(4017,4021) = 16152357
Properties of LCM 4017 and 4021
(i) The LCM of 4021 and 4017 is associative
LCM of 4017 and 4021 = LCM of 4021 and 4017
Related Least Common Multiples of 4017
Related Least Common Multiples of 4021
Frequently Asked Questions on LCM of 4017 and 4021
1. What is the LCM of 4017 and 4021?
Answer: LCM of 4017 and 4021 is 16152357.
2. What are the Factors of 4017?
Answer: Factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017. There are 8 integers that are factors of 4017. The greatest factor of 4017 is 4017.
3. What are the Factors of 4021?
Answer: Factors of 4021 are 1, 4021. There are 2 integers that are factors of 4021. The greatest factor of 4021 is 4021.
4. How to Find the LCM of 4017 and 4021?
Answer:
Least Common Multiple of 4017 and 4021 = 16152357
Step 1: Find the prime factorization of 4017
4017 = 3 x 13 x 103
Step 2: Find the prime factorization of 4021
4021 = 4021
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16152357 = 3 x 13 x 103 x 4021
Step 4: Therefore, the least common multiple of 4017 and 4021 is 16152357.