Least Common Multiple of 10006 and 10014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10006 and 10014 the smallest integer that is 50100042 that is divisible by both numbers.

Least Common Multiple (LCM) of 10006 and 10014 is 50100042.

LCM(10006,10014) = 50100042

LCM of 10006 and 10014

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

LCM of:
and

Least Common Multiple of 10006 and 10014

LCM of 10006 and 10014 is 50100042

Least common multiple can be found by multiplying the highest exponent prime factors of 10006 and 10014. First we will calculate the prime factors of 10006 and 10014.

Prime Factorization of 10006


2 10006
5003 5003
1

Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:

10006 = 21×50031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10006 and 10014.

LCM(10006,10014) = 21×31×16691×50031
LCM(10006,10014) = 50100042

Factors of 10006

List of positive integer factors of 10006 that divides 10006 without a remainder.

1, 2, 5003, 10006

Factors of 10014

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

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

Least Common Multiple of 10006 and 10014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10006 and 10014, than apply into the LCM equation.

GCF(10006,10014) = 2
LCM(10006,10014) = ( 10006 × 10014) / 2
LCM(10006,10014) = 100200084 / 2
LCM(10006,10014) = 50100042

Properties of LCM 10006 and 10014

(i) The LCM of 10014 and 10006 is associative

LCM of 10006 and 10014 = LCM of 10014 and 10006

Related Least Common Multiples of 10006

Related Least Common Multiples of 10014

Frequently Asked Questions on LCM of 10006 and 10014

1. What is the LCM of 10006 and 10014?

Answer: LCM of 10006 and 10014 is 50100042.

2. What are the Factors of 10006?

Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.

3. 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.

4. How to Find the LCM of 10006 and 10014?

Answer:

Least Common Multiple of 10006 and 10014 = 50100042

Step 1: Find the prime factorization of 10006

10006 = 2 x 5003

Step 2: Find the prime factorization of 10014

10014 = 2 x 3 x 1669

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

LCM = 50100042 = 2 x 3 x 1669 x 5003

Step 4: Therefore, the least common multiple of 10006 and 10014 is 50100042.