Least Common Multiple of 8016 and 8018

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 8018 the smallest integer that is 32136144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8016 and 8018 is 32136144.

LCM(8016,8018) = 32136144

LCM of 8016 and 8018

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

LCM of:
and

Least Common Multiple of 8016 and 8018

LCM of 8016 and 8018 is 32136144

Least common multiple can be found by multiplying the highest exponent prime factors of 8016 and 8018. First we will calculate the prime factors of 8016 and 8018.

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 8018


2 8018
19 4009
211 211
1

Prime factors of 8018 are 2, 19,211. Prime factorization of 8018 in exponential form is:

8018 = 21×191×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8016 and 8018.

LCM(8016,8018) = 24×31×191×1671×2111
LCM(8016,8018) = 32136144

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 8018

List of positive integer factors of 8018 that divides 8018 without a remainder.

1, 2, 19, 38, 211, 422, 4009, 8018

Least Common Multiple of 8016 and 8018 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 8018, than apply into the LCM equation.

GCF(8016,8018) = 2
LCM(8016,8018) = ( 8016 × 8018) / 2
LCM(8016,8018) = 64272288 / 2
LCM(8016,8018) = 32136144

Properties of LCM 8016 and 8018

(i) The LCM of 8018 and 8016 is associative

LCM of 8016 and 8018 = LCM of 8018 and 8016

Related Least Common Multiples of 8016

Related Least Common Multiples of 8018

Frequently Asked Questions on LCM of 8016 and 8018

1. What is the LCM of 8016 and 8018?

Answer: LCM of 8016 and 8018 is 32136144.

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 8018?

Answer: Factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018. There are 8 integers that are factors of 8018. The greatest factor of 8018 is 8018.

4. How to Find the LCM of 8016 and 8018?

Answer:

Least Common Multiple of 8016 and 8018 = 32136144

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 8018

8018 = 2 x 19 x 211

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

LCM = 32136144 = 2 x 2 x 2 x 2 x 3 x 19 x 167 x 211

Step 4: Therefore, the least common multiple of 8016 and 8018 is 32136144.