Least Common Multiple of 4010 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 4010 and 4017 the smallest integer that is 16108170 that is divisible by both numbers.

Least Common Multiple (LCM) of 4010 and 4017 is 16108170.

LCM(4010,4017) = 16108170

LCM of 4010 and 4017

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

LCM of:
and

Least Common Multiple of 4010 and 4017

LCM of 4010 and 4017 is 16108170

Least common multiple can be found by multiplying the highest exponent prime factors of 4010 and 4017. First we will calculate the prime factors of 4010 and 4017.

Prime Factorization of 4010


2 4010
5 2005
401 401
1

Prime factors of 4010 are 2, 5,401. Prime factorization of 4010 in exponential form is:

4010 = 21×51×4011

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 4010 and 4017.

LCM(4010,4017) = 21×31×51×131×1031×4011
LCM(4010,4017) = 16108170

Factors of 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1, 2, 5, 10, 401, 802, 2005, 4010

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 4010 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 4010 and 4017, than apply into the LCM equation.

GCF(4010,4017) = 1
LCM(4010,4017) = ( 4010 × 4017) / 1
LCM(4010,4017) = 16108170 / 1
LCM(4010,4017) = 16108170

Properties of LCM 4010 and 4017

(i) The LCM of 4017 and 4010 is associative

LCM of 4010 and 4017 = LCM of 4017 and 4010

Related Least Common Multiples of 4010

Related Least Common Multiples of 4017

Frequently Asked Questions on LCM of 4010 and 4017

1. What is the LCM of 4010 and 4017?

Answer: LCM of 4010 and 4017 is 16108170.

2. What are the Factors of 4010?

Answer: Factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010. There are 8 integers that are factors of 4010. The greatest factor of 4010 is 4010.

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 4010 and 4017?

Answer:

Least Common Multiple of 4010 and 4017 = 16108170

Step 1: Find the prime factorization of 4010

4010 = 2 x 5 x 401

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 = 16108170 = 2 x 3 x 5 x 13 x 103 x 401

Step 4: Therefore, the least common multiple of 4010 and 4017 is 16108170.