Least Common Multiple of 8016 and 8017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8016 and 8017 the smallest integer that is 64264272 that is divisible by both numbers.

Least Common Multiple (LCM) of 8016 and 8017 is 64264272.

LCM(8016,8017) = 64264272

LCM of 8016 and 8017

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

LCM of:
and

Least Common Multiple of 8016 and 8017

LCM of 8016 and 8017 is 64264272

Least common multiple can be found by multiplying the highest exponent prime factors of 8016 and 8017. First we will calculate the prime factors of 8016 and 8017.

Prime Factorization of 8016


2 8016
2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 8016 are 2, 3,167. Prime factorization of 8016 in exponential form is:

8016 = 24×31×1671

Prime Factorization of 8017


8017 8017
1

Prime factors of 8017 are 8017. Prime factorization of 8017 in exponential form is:

8017 = 80171

Now multiplying the highest exponent prime factors to calculate the LCM of 8016 and 8017.

LCM(8016,8017) = 24×31×1671×80171
LCM(8016,8017) = 64264272

Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016

Factors of 8017

List of positive integer factors of 8017 that divides 8017 without a remainder.

1, 8017

Least Common Multiple of 8016 and 8017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8016 and 8017, than apply into the LCM equation.

GCF(8016,8017) = 1
LCM(8016,8017) = ( 8016 × 8017) / 1
LCM(8016,8017) = 64264272 / 1
LCM(8016,8017) = 64264272

Properties of LCM 8016 and 8017

(i) The LCM of 8017 and 8016 is associative

LCM of 8016 and 8017 = LCM of 8017 and 8016

Related Least Common Multiples of 8016

Related Least Common Multiples of 8017

Frequently Asked Questions on LCM of 8016 and 8017

1. What is the LCM of 8016 and 8017?

Answer: LCM of 8016 and 8017 is 64264272.

2. What are the Factors of 8016?

Answer: Factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016. There are 20 integers that are factors of 8016. The greatest factor of 8016 is 8016.

3. What are the Factors of 8017?

Answer: Factors of 8017 are 1, 8017. There are 2 integers that are factors of 8017. The greatest factor of 8017 is 8017.

4. How to Find the LCM of 8016 and 8017?

Answer:

Least Common Multiple of 8016 and 8017 = 64264272

Step 1: Find the prime factorization of 8016

8016 = 2 x 2 x 2 x 2 x 3 x 167

Step 2: Find the prime factorization of 8017

8017 = 8017

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

LCM = 64264272 = 2 x 2 x 2 x 2 x 3 x 167 x 8017

Step 4: Therefore, the least common multiple of 8016 and 8017 is 64264272.