Least Common Multiple of 9020 and 9025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9020 and 9025 the smallest integer that is 16281100 that is divisible by both numbers.

Least Common Multiple (LCM) of 9020 and 9025 is 16281100.

LCM(9020,9025) = 16281100

LCM of 9020 and 9025

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

LCM of:
and

Least Common Multiple of 9020 and 9025

LCM of 9020 and 9025 is 16281100

Least common multiple can be found by multiplying the highest exponent prime factors of 9020 and 9025. First we will calculate the prime factors of 9020 and 9025.

Prime Factorization of 9020


2 9020
2 4510
5 2255
11 451
41 41
1

Prime factors of 9020 are 2, 5, 11,41. Prime factorization of 9020 in exponential form is:

9020 = 22×51×111×411

Prime Factorization of 9025


5 9025
5 1805
19 361
19 19
1

Prime factors of 9025 are 5,19. Prime factorization of 9025 in exponential form is:

9025 = 52×192

Now multiplying the highest exponent prime factors to calculate the LCM of 9020 and 9025.

LCM(9020,9025) = 22×52×111×192×411
LCM(9020,9025) = 16281100

Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1, 5, 19, 25, 95, 361, 475, 1805, 9025

Least Common Multiple of 9020 and 9025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9020 and 9025, than apply into the LCM equation.

GCF(9020,9025) = 5
LCM(9020,9025) = ( 9020 × 9025) / 5
LCM(9020,9025) = 81405500 / 5
LCM(9020,9025) = 16281100

Properties of LCM 9020 and 9025

(i) The LCM of 9025 and 9020 is associative

LCM of 9020 and 9025 = LCM of 9025 and 9020

Related Least Common Multiples of 9020

Related Least Common Multiples of 9025

Frequently Asked Questions on LCM of 9020 and 9025

1. What is the LCM of 9020 and 9025?

Answer: LCM of 9020 and 9025 is 16281100.

2. What are the Factors of 9020?

Answer: Factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020. There are 24 integers that are factors of 9020. The greatest factor of 9020 is 9020.

3. What are the Factors of 9025?

Answer: Factors of 9025 are 1, 5, 19, 25, 95, 361, 475, 1805, 9025. There are 9 integers that are factors of 9025. The greatest factor of 9025 is 9025.

4. How to Find the LCM of 9020 and 9025?

Answer:

Least Common Multiple of 9020 and 9025 = 16281100

Step 1: Find the prime factorization of 9020

9020 = 2 x 2 x 5 x 11 x 41

Step 2: Find the prime factorization of 9025

9025 = 5 x 5 x 19 x 19

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

LCM = 16281100 = 2 x 2 x 5 x 5 x 11 x 19 x 19 x 41

Step 4: Therefore, the least common multiple of 9020 and 9025 is 16281100.