Least Common Multiple of 10014 and 10020

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 10020 the smallest integer that is 16723380 that is divisible by both numbers.

Least Common Multiple (LCM) of 10014 and 10020 is 16723380.

LCM(10014,10020) = 16723380

LCM of 10014 and 10020

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

LCM of:
and

Least Common Multiple of 10014 and 10020

LCM of 10014 and 10020 is 16723380

Least common multiple can be found by multiplying the highest exponent prime factors of 10014 and 10020. First we will calculate the prime factors of 10014 and 10020.

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 10020


2 10020
2 5010
3 2505
5 835
167 167
1

Prime factors of 10020 are 2, 3, 5,167. Prime factorization of 10020 in exponential form is:

10020 = 22×31×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 10014 and 10020.

LCM(10014,10020) = 22×31×51×1671×16691
LCM(10014,10020) = 16723380

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 10020

List of positive integer factors of 10020 that divides 10020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020

Least Common Multiple of 10014 and 10020 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 10020, than apply into the LCM equation.

GCF(10014,10020) = 6
LCM(10014,10020) = ( 10014 × 10020) / 6
LCM(10014,10020) = 100340280 / 6
LCM(10014,10020) = 16723380

Properties of LCM 10014 and 10020

(i) The LCM of 10020 and 10014 is associative

LCM of 10014 and 10020 = LCM of 10020 and 10014

Related Least Common Multiples of 10014

Related Least Common Multiples of 10020

Frequently Asked Questions on LCM of 10014 and 10020

1. What is the LCM of 10014 and 10020?

Answer: LCM of 10014 and 10020 is 16723380.

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 10020?

Answer: Factors of 10020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020. There are 24 integers that are factors of 10020. The greatest factor of 10020 is 10020.

4. How to Find the LCM of 10014 and 10020?

Answer:

Least Common Multiple of 10014 and 10020 = 16723380

Step 1: Find the prime factorization of 10014

10014 = 2 x 3 x 1669

Step 2: Find the prime factorization of 10020

10020 = 2 x 2 x 3 x 5 x 167

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

LCM = 16723380 = 2 x 2 x 3 x 5 x 167 x 1669

Step 4: Therefore, the least common multiple of 10014 and 10020 is 16723380.