Least Common Multiple of 36020 and 36025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36020 and 36025 the smallest integer that is 259524100 that is divisible by both numbers.

Least Common Multiple (LCM) of 36020 and 36025 is 259524100.

LCM(36020,36025) = 259524100

LCM of 36020 and 36025

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

LCM of:
and

Least Common Multiple of 36020 and 36025

LCM of 36020 and 36025 is 259524100

Least common multiple can be found by multiplying the highest exponent prime factors of 36020 and 36025. First we will calculate the prime factors of 36020 and 36025.

Prime Factorization of 36020


2 36020
2 18010
5 9005
1801 1801
1

Prime factors of 36020 are 2, 5,1801. Prime factorization of 36020 in exponential form is:

36020 = 22×51×18011

Prime Factorization of 36025


5 36025
5 7205
11 1441
131 131
1

Prime factors of 36025 are 5, 11,131. Prime factorization of 36025 in exponential form is:

36025 = 52×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 36020 and 36025.

LCM(36020,36025) = 22×52×111×1311×18011
LCM(36020,36025) = 259524100

Factors of 36020

List of positive integer factors of 36020 that divides 36020 without a remainder.

1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020

Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025

Least Common Multiple of 36020 and 36025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36020 and 36025, than apply into the LCM equation.

GCF(36020,36025) = 5
LCM(36020,36025) = ( 36020 × 36025) / 5
LCM(36020,36025) = 1297620500 / 5
LCM(36020,36025) = 259524100

Properties of LCM 36020 and 36025

(i) The LCM of 36025 and 36020 is associative

LCM of 36020 and 36025 = LCM of 36025 and 36020

Related Least Common Multiples of 36020

Related Least Common Multiples of 36025

Frequently Asked Questions on LCM of 36020 and 36025

1. What is the LCM of 36020 and 36025?

Answer: LCM of 36020 and 36025 is 259524100.

2. What are the Factors of 36020?

Answer: Factors of 36020 are 1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020. There are 12 integers that are factors of 36020. The greatest factor of 36020 is 36020.

3. What are the Factors of 36025?

Answer: Factors of 36025 are 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025. There are 12 integers that are factors of 36025. The greatest factor of 36025 is 36025.

4. How to Find the LCM of 36020 and 36025?

Answer:

Least Common Multiple of 36020 and 36025 = 259524100

Step 1: Find the prime factorization of 36020

36020 = 2 x 2 x 5 x 1801

Step 2: Find the prime factorization of 36025

36025 = 5 x 5 x 11 x 131

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

LCM = 259524100 = 2 x 2 x 5 x 5 x 11 x 131 x 1801

Step 4: Therefore, the least common multiple of 36020 and 36025 is 259524100.