Least Common Multiple of 10020 and 10025

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 10025 the smallest integer that is 20090100 that is divisible by both numbers.

Least Common Multiple (LCM) of 10020 and 10025 is 20090100.

LCM(10020,10025) = 20090100

LCM of 10020 and 10025

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

LCM of:
and

Least Common Multiple of 10020 and 10025

LCM of 10020 and 10025 is 20090100

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10025. First we will calculate the prime factors of 10020 and 10025.

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 10025


5 10025
5 2005
401 401
1

Prime factors of 10025 are 5,401. Prime factorization of 10025 in exponential form is:

10025 = 52×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10025.

LCM(10020,10025) = 22×31×52×1671×4011
LCM(10020,10025) = 20090100

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 10025

List of positive integer factors of 10025 that divides 10025 without a remainder.

1, 5, 25, 401, 2005, 10025

Least Common Multiple of 10020 and 10025 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 10025, than apply into the LCM equation.

GCF(10020,10025) = 5
LCM(10020,10025) = ( 10020 × 10025) / 5
LCM(10020,10025) = 100450500 / 5
LCM(10020,10025) = 20090100

Properties of LCM 10020 and 10025

(i) The LCM of 10025 and 10020 is associative

LCM of 10020 and 10025 = LCM of 10025 and 10020

Related Least Common Multiples of 10020

Related Least Common Multiples of 10025

Frequently Asked Questions on LCM of 10020 and 10025

1. What is the LCM of 10020 and 10025?

Answer: LCM of 10020 and 10025 is 20090100.

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 10025?

Answer: Factors of 10025 are 1, 5, 25, 401, 2005, 10025. There are 6 integers that are factors of 10025. The greatest factor of 10025 is 10025.

4. How to Find the LCM of 10020 and 10025?

Answer:

Least Common Multiple of 10020 and 10025 = 20090100

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 10025

10025 = 5 x 5 x 401

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

LCM = 20090100 = 2 x 2 x 3 x 5 x 5 x 167 x 401

Step 4: Therefore, the least common multiple of 10020 and 10025 is 20090100.