Least Common Multiple of 4017 and 4025

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 4025 the smallest integer that is 16168425 that is divisible by both numbers.

Least Common Multiple (LCM) of 4017 and 4025 is 16168425.

LCM(4017,4025) = 16168425

LCM of 4017 and 4025

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

LCM of:
and

Least Common Multiple of 4017 and 4025

LCM of 4017 and 4025 is 16168425

Least common multiple can be found by multiplying the highest exponent prime factors of 4017 and 4025. First we will calculate the prime factors of 4017 and 4025.

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 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5, 7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4017 and 4025.

LCM(4017,4025) = 31×52×71×131×231×1031
LCM(4017,4025) = 16168425

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 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025

Least Common Multiple of 4017 and 4025 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 4025, than apply into the LCM equation.

GCF(4017,4025) = 1
LCM(4017,4025) = ( 4017 × 4025) / 1
LCM(4017,4025) = 16168425 / 1
LCM(4017,4025) = 16168425

Properties of LCM 4017 and 4025

(i) The LCM of 4025 and 4017 is associative

LCM of 4017 and 4025 = LCM of 4025 and 4017

Related Least Common Multiples of 4017

Related Least Common Multiples of 4025

Frequently Asked Questions on LCM of 4017 and 4025

1. What is the LCM of 4017 and 4025?

Answer: LCM of 4017 and 4025 is 16168425.

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 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

4. How to Find the LCM of 4017 and 4025?

Answer:

Least Common Multiple of 4017 and 4025 = 16168425

Step 1: Find the prime factorization of 4017

4017 = 3 x 13 x 103

Step 2: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

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

LCM = 16168425 = 3 x 5 x 5 x 7 x 13 x 23 x 103

Step 4: Therefore, the least common multiple of 4017 and 4025 is 16168425.