Least Common Multiple of 4016 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 4016 and 4017 the smallest integer that is 16132272 that is divisible by both numbers.

Least Common Multiple (LCM) of 4016 and 4017 is 16132272.

LCM(4016,4017) = 16132272

LCM of 4016 and 4017

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

LCM of:
and

Least Common Multiple of 4016 and 4017

LCM of 4016 and 4017 is 16132272

Least common multiple can be found by multiplying the highest exponent prime factors of 4016 and 4017. First we will calculate the prime factors of 4016 and 4017.

Prime Factorization of 4016


2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 4016 are 2,251. Prime factorization of 4016 in exponential form is:

4016 = 24×2511

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 4016 and 4017.

LCM(4016,4017) = 24×31×131×1031×2511
LCM(4016,4017) = 16132272

Factors of 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016

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 4016 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 4016 and 4017, than apply into the LCM equation.

GCF(4016,4017) = 1
LCM(4016,4017) = ( 4016 × 4017) / 1
LCM(4016,4017) = 16132272 / 1
LCM(4016,4017) = 16132272

Properties of LCM 4016 and 4017

(i) The LCM of 4017 and 4016 is associative

LCM of 4016 and 4017 = LCM of 4017 and 4016

Related Least Common Multiples of 4016

Related Least Common Multiples of 4017

Frequently Asked Questions on LCM of 4016 and 4017

1. What is the LCM of 4016 and 4017?

Answer: LCM of 4016 and 4017 is 16132272.

2. What are the Factors of 4016?

Answer: Factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. There are 10 integers that are factors of 4016. The greatest factor of 4016 is 4016.

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 4016 and 4017?

Answer:

Least Common Multiple of 4016 and 4017 = 16132272

Step 1: Find the prime factorization of 4016

4016 = 2 x 2 x 2 x 2 x 251

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 = 16132272 = 2 x 2 x 2 x 2 x 3 x 13 x 103 x 251

Step 4: Therefore, the least common multiple of 4016 and 4017 is 16132272.