Least Common Multiple of 4017 and 4024

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 4024 the smallest integer that is 16164408 that is divisible by both numbers.

Least Common Multiple (LCM) of 4017 and 4024 is 16164408.

LCM(4017,4024) = 16164408

LCM of 4017 and 4024

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4017 and 4024

LCM of 4017 and 4024 is 16164408

Least common multiple can be found by multiplying the highest exponent prime factors of 4017 and 4024. First we will calculate the prime factors of 4017 and 4024.

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 4024


2 4024
2 2012
2 1006
503 503
1

Prime factors of 4024 are 2,503. Prime factorization of 4024 in exponential form is:

4024 = 23×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 4017 and 4024.

LCM(4017,4024) = 23×31×131×1031×5031
LCM(4017,4024) = 16164408

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 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1, 2, 4, 8, 503, 1006, 2012, 4024

Least Common Multiple of 4017 and 4024 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 4024, than apply into the LCM equation.

GCF(4017,4024) = 1
LCM(4017,4024) = ( 4017 × 4024) / 1
LCM(4017,4024) = 16164408 / 1
LCM(4017,4024) = 16164408

Properties of LCM 4017 and 4024

(i) The LCM of 4024 and 4017 is associative

LCM of 4017 and 4024 = LCM of 4024 and 4017

Related Least Common Multiples of 4017

Related Least Common Multiples of 4024

Frequently Asked Questions on LCM of 4017 and 4024

1. What is the LCM of 4017 and 4024?

Answer: LCM of 4017 and 4024 is 16164408.

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 4024?

Answer: Factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024. There are 8 integers that are factors of 4024. The greatest factor of 4024 is 4024.

4. How to Find the LCM of 4017 and 4024?

Answer:

Least Common Multiple of 4017 and 4024 = 16164408

Step 1: Find the prime factorization of 4017

4017 = 3 x 13 x 103

Step 2: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16164408 = 2 x 2 x 2 x 3 x 13 x 103 x 503

Step 4: Therefore, the least common multiple of 4017 and 4024 is 16164408.