Least Common Multiple of 10016 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 10016 and 10020 the smallest integer that is 25090080 that is divisible by both numbers.

Least Common Multiple (LCM) of 10016 and 10020 is 25090080.

LCM(10016,10020) = 25090080

LCM of 10016 and 10020

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

LCM of:
and

Least Common Multiple of 10016 and 10020

LCM of 10016 and 10020 is 25090080

Least common multiple can be found by multiplying the highest exponent prime factors of 10016 and 10020. First we will calculate the prime factors of 10016 and 10020.

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

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 10016 and 10020.

LCM(10016,10020) = 25×31×51×1671×3131
LCM(10016,10020) = 25090080

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016

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 10016 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 10016 and 10020, than apply into the LCM equation.

GCF(10016,10020) = 4
LCM(10016,10020) = ( 10016 × 10020) / 4
LCM(10016,10020) = 100360320 / 4
LCM(10016,10020) = 25090080

Properties of LCM 10016 and 10020

(i) The LCM of 10020 and 10016 is associative

LCM of 10016 and 10020 = LCM of 10020 and 10016

Related Least Common Multiples of 10016

Related Least Common Multiples of 10020

Frequently Asked Questions on LCM of 10016 and 10020

1. What is the LCM of 10016 and 10020?

Answer: LCM of 10016 and 10020 is 25090080.

2. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

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 10016 and 10020?

Answer:

Least Common Multiple of 10016 and 10020 = 25090080

Step 1: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

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 = 25090080 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 167 x 313

Step 4: Therefore, the least common multiple of 10016 and 10020 is 25090080.