Least Common Multiple of 4012 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 4012 and 4017 the smallest integer that is 16116204 that is divisible by both numbers.

Least Common Multiple (LCM) of 4012 and 4017 is 16116204.

LCM(4012,4017) = 16116204

LCM of 4012 and 4017

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

LCM of:
and

Least Common Multiple of 4012 and 4017

LCM of 4012 and 4017 is 16116204

Least common multiple can be found by multiplying the highest exponent prime factors of 4012 and 4017. First we will calculate the prime factors of 4012 and 4017.

Prime Factorization of 4012


2 4012
2 2006
17 1003
59 59
1

Prime factors of 4012 are 2, 17,59. Prime factorization of 4012 in exponential form is:

4012 = 22×171×591

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 4012 and 4017.

LCM(4012,4017) = 22×31×131×171×591×1031
LCM(4012,4017) = 16116204

Factors of 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012

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 4012 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 4012 and 4017, than apply into the LCM equation.

GCF(4012,4017) = 1
LCM(4012,4017) = ( 4012 × 4017) / 1
LCM(4012,4017) = 16116204 / 1
LCM(4012,4017) = 16116204

Properties of LCM 4012 and 4017

(i) The LCM of 4017 and 4012 is associative

LCM of 4012 and 4017 = LCM of 4017 and 4012

Related Least Common Multiples of 4012

Related Least Common Multiples of 4017

Frequently Asked Questions on LCM of 4012 and 4017

1. What is the LCM of 4012 and 4017?

Answer: LCM of 4012 and 4017 is 16116204.

2. What are the Factors of 4012?

Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.

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 4012 and 4017?

Answer:

Least Common Multiple of 4012 and 4017 = 16116204

Step 1: Find the prime factorization of 4012

4012 = 2 x 2 x 17 x 59

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 = 16116204 = 2 x 2 x 3 x 13 x 17 x 59 x 103

Step 4: Therefore, the least common multiple of 4012 and 4017 is 16116204.