Least Common Multiple of 4013 and 4017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4013 and 4017 the smallest integer that is 16120221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4013 and 4017 is 16120221.

LCM(4013,4017) = 16120221

LCM of 4013 and 4017

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

LCM of:
and

Least Common Multiple of 4013 and 4017

LCM of 4013 and 4017 is 16120221

Least common multiple can be found by multiplying the highest exponent prime factors of 4013 and 4017. First we will calculate the prime factors of 4013 and 4017.

Prime Factorization of 4013


4013 4013
1

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 40131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4013 and 4017.

LCM(4013,4017) = 31×131×1031×40131
LCM(4013,4017) = 16120221

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1, 4013

Factors of 4017

List of positive integer factors of 4017 that divides 4017 without a remainder.

1, 3, 13, 39, 103, 309, 1339, 4017

Least Common Multiple of 4013 and 4017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4013 and 4017, than apply into the LCM equation.

GCF(4013,4017) = 1
LCM(4013,4017) = ( 4013 × 4017) / 1
LCM(4013,4017) = 16120221 / 1
LCM(4013,4017) = 16120221

Properties of LCM 4013 and 4017

(i) The LCM of 4017 and 4013 is associative

LCM of 4013 and 4017 = LCM of 4017 and 4013

Frequently Asked Questions on LCM of 4013 and 4017

1. What is the LCM of 4013 and 4017?

Answer: LCM of 4013 and 4017 is 16120221.

2. What are the Factors of 4013?

Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.

3. 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.

4. How to Find the LCM of 4013 and 4017?

Answer:

Least Common Multiple of 4013 and 4017 = 16120221

Step 1: Find the prime factorization of 4013

4013 = 4013

Step 2: Find the prime factorization of 4017

4017 = 3 x 13 x 103

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

LCM = 16120221 = 3 x 13 x 103 x 4013

Step 4: Therefore, the least common multiple of 4013 and 4017 is 16120221.