Least Common Multiple of 8014 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 8014 and 8018 the smallest integer that is 32128126 that is divisible by both numbers.

Least Common Multiple (LCM) of 8014 and 8018 is 32128126.

LCM(8014,8018) = 32128126

LCM of 8014 and 8018

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

LCM of:
and

Least Common Multiple of 8014 and 8018

LCM of 8014 and 8018 is 32128126

Least common multiple can be found by multiplying the highest exponent prime factors of 8014 and 8018. First we will calculate the prime factors of 8014 and 8018.

Prime Factorization of 8014


2 8014
4007 4007
1

Prime factors of 8014 are 2,4007. Prime factorization of 8014 in exponential form is:

8014 = 21×40071

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 8014 and 8018.

LCM(8014,8018) = 21×191×2111×40071
LCM(8014,8018) = 32128126

Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1, 2, 4007, 8014

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 8014 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 8014 and 8018, than apply into the LCM equation.

GCF(8014,8018) = 2
LCM(8014,8018) = ( 8014 × 8018) / 2
LCM(8014,8018) = 64256252 / 2
LCM(8014,8018) = 32128126

Properties of LCM 8014 and 8018

(i) The LCM of 8018 and 8014 is associative

LCM of 8014 and 8018 = LCM of 8018 and 8014

Related Least Common Multiples of 8014

Related Least Common Multiples of 8018

Frequently Asked Questions on LCM of 8014 and 8018

1. What is the LCM of 8014 and 8018?

Answer: LCM of 8014 and 8018 is 32128126.

2. What are the Factors of 8014?

Answer: Factors of 8014 are 1, 2, 4007, 8014. There are 4 integers that are factors of 8014. The greatest factor of 8014 is 8014.

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 8014 and 8018?

Answer:

Least Common Multiple of 8014 and 8018 = 32128126

Step 1: Find the prime factorization of 8014

8014 = 2 x 4007

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 = 32128126 = 2 x 19 x 211 x 4007

Step 4: Therefore, the least common multiple of 8014 and 8018 is 32128126.