Least Common Multiple of 10014 and 10018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10014 and 10018 the smallest integer that is 50160126 that is divisible by both numbers.

Least Common Multiple (LCM) of 10014 and 10018 is 50160126.

LCM(10014,10018) = 50160126

LCM of 10014 and 10018

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

LCM of:
and

Least Common Multiple of 10014 and 10018

LCM of 10014 and 10018 is 50160126

Least common multiple can be found by multiplying the highest exponent prime factors of 10014 and 10018. First we will calculate the prime factors of 10014 and 10018.

Prime Factorization of 10014


2 10014
3 5007
1669 1669
1

Prime factors of 10014 are 2, 3,1669. Prime factorization of 10014 in exponential form is:

10014 = 21×31×16691

Prime Factorization of 10018


2 10018
5009 5009
1

Prime factors of 10018 are 2,5009. Prime factorization of 10018 in exponential form is:

10018 = 21×50091

Now multiplying the highest exponent prime factors to calculate the LCM of 10014 and 10018.

LCM(10014,10018) = 21×31×16691×50091
LCM(10014,10018) = 50160126

Factors of 10014

List of positive integer factors of 10014 that divides 10014 without a remainder.

1, 2, 3, 6, 1669, 3338, 5007, 10014

Factors of 10018

List of positive integer factors of 10018 that divides 10018 without a remainder.

1, 2, 5009, 10018

Least Common Multiple of 10014 and 10018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10014 and 10018, than apply into the LCM equation.

GCF(10014,10018) = 2
LCM(10014,10018) = ( 10014 × 10018) / 2
LCM(10014,10018) = 100320252 / 2
LCM(10014,10018) = 50160126

Properties of LCM 10014 and 10018

(i) The LCM of 10018 and 10014 is associative

LCM of 10014 and 10018 = LCM of 10018 and 10014

Related Least Common Multiples of 10014

Related Least Common Multiples of 10018

Frequently Asked Questions on LCM of 10014 and 10018

1. What is the LCM of 10014 and 10018?

Answer: LCM of 10014 and 10018 is 50160126.

2. What are the Factors of 10014?

Answer: Factors of 10014 are 1, 2, 3, 6, 1669, 3338, 5007, 10014. There are 8 integers that are factors of 10014. The greatest factor of 10014 is 10014.

3. What are the Factors of 10018?

Answer: Factors of 10018 are 1, 2, 5009, 10018. There are 4 integers that are factors of 10018. The greatest factor of 10018 is 10018.

4. How to Find the LCM of 10014 and 10018?

Answer:

Least Common Multiple of 10014 and 10018 = 50160126

Step 1: Find the prime factorization of 10014

10014 = 2 x 3 x 1669

Step 2: Find the prime factorization of 10018

10018 = 2 x 5009

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

LCM = 50160126 = 2 x 3 x 1669 x 5009

Step 4: Therefore, the least common multiple of 10014 and 10018 is 50160126.