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 4023 the smallest integer that is 5386797 that is divisible by both numbers.
Least Common Multiple (LCM) of 4017 and 4023 is 5386797.
LCM(4017,4023) = 5386797
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4017 and 4023. First we will calculate the prime factors of 4017 and 4023.
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 4023
3 | 4023 |
3 | 1341 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:
4023 = 33×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 4017 and 4023.
LCM(4017,4023) = 33×131×1031×1491
LCM(4017,4023) = 5386797
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 4023
List of positive integer factors of 4023 that divides 4023 without a remainder.
1, 3, 9, 27, 149, 447, 1341, 4023
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4017 and 4023, than apply into the LCM equation.
GCF(4017,4023) = 3
LCM(4017,4023) = ( 4017 × 4023) / 3
LCM(4017,4023) = 16160391 / 3
LCM(4017,4023) = 5386797
(i) The LCM of 4023 and 4017 is associative
LCM of 4017 and 4023 = LCM of 4023 and 4017
1. What is the LCM of 4017 and 4023?
Answer: LCM of 4017 and 4023 is 5386797.
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 4023?
Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.
4. How to Find the LCM of 4017 and 4023?
Answer:
Least Common Multiple of 4017 and 4023 = 5386797
Step 1: Find the prime factorization of 4017
4017 = 3 x 13 x 103
Step 2: Find the prime factorization of 4023
4023 = 3 x 3 x 3 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5386797 = 3 x 3 x 3 x 13 x 103 x 149
Step 4: Therefore, the least common multiple of 4017 and 4023 is 5386797.