Least Common Multiple of 10020 and 10024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10020 and 10024 the smallest integer that is 25110120 that is divisible by both numbers.

Least Common Multiple (LCM) of 10020 and 10024 is 25110120.

LCM(10020,10024) = 25110120

LCM of 10020 and 10024

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

LCM of:
and

Least Common Multiple of 10020 and 10024

LCM of 10020 and 10024 is 25110120

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10024. First we will calculate the prime factors of 10020 and 10024.

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

Prime Factorization of 10024


2 10024
2 5012
2 2506
7 1253
179 179
1

Prime factors of 10024 are 2, 7,179. Prime factorization of 10024 in exponential form is:

10024 = 23×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10024.

LCM(10020,10024) = 23×31×51×71×1671×1791
LCM(10020,10024) = 25110120

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

Factors of 10024

List of positive integer factors of 10024 that divides 10024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012, 10024

Least Common Multiple of 10020 and 10024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10020 and 10024, than apply into the LCM equation.

GCF(10020,10024) = 4
LCM(10020,10024) = ( 10020 × 10024) / 4
LCM(10020,10024) = 100440480 / 4
LCM(10020,10024) = 25110120

Properties of LCM 10020 and 10024

(i) The LCM of 10024 and 10020 is associative

LCM of 10020 and 10024 = LCM of 10024 and 10020

Related Least Common Multiples of 10020

Related Least Common Multiples of 10024

Frequently Asked Questions on LCM of 10020 and 10024

1. What is the LCM of 10020 and 10024?

Answer: LCM of 10020 and 10024 is 25110120.

2. 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.

3. What are the Factors of 10024?

Answer: Factors of 10024 are 1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012, 10024. There are 16 integers that are factors of 10024. The greatest factor of 10024 is 10024.

4. How to Find the LCM of 10020 and 10024?

Answer:

Least Common Multiple of 10020 and 10024 = 25110120

Step 1: Find the prime factorization of 10020

10020 = 2 x 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 10024

10024 = 2 x 2 x 2 x 7 x 179

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

LCM = 25110120 = 2 x 2 x 2 x 3 x 5 x 7 x 167 x 179

Step 4: Therefore, the least common multiple of 10020 and 10024 is 25110120.