Least Common Multiple of 36020 and 36028

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 36028 the smallest integer that is 324432140 that is divisible by both numbers.

Least Common Multiple (LCM) of 36020 and 36028 is 324432140.

LCM(36020,36028) = 324432140

LCM of 36020 and 36028

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

LCM of:
and

Least Common Multiple of 36020 and 36028

LCM of 36020 and 36028 is 324432140

Least common multiple can be found by multiplying the highest exponent prime factors of 36020 and 36028. First we will calculate the prime factors of 36020 and 36028.

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 36028


2 36028
2 18014
9007 9007
1

Prime factors of 36028 are 2,9007. Prime factorization of 36028 in exponential form is:

36028 = 22×90071

Now multiplying the highest exponent prime factors to calculate the LCM of 36020 and 36028.

LCM(36020,36028) = 22×51×18011×90071
LCM(36020,36028) = 324432140

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 36028

List of positive integer factors of 36028 that divides 36028 without a remainder.

1, 2, 4, 9007, 18014, 36028

Least Common Multiple of 36020 and 36028 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 36028, than apply into the LCM equation.

GCF(36020,36028) = 4
LCM(36020,36028) = ( 36020 × 36028) / 4
LCM(36020,36028) = 1297728560 / 4
LCM(36020,36028) = 324432140

Properties of LCM 36020 and 36028

(i) The LCM of 36028 and 36020 is associative

LCM of 36020 and 36028 = LCM of 36028 and 36020

Related Least Common Multiples of 36020

Related Least Common Multiples of 36028

Frequently Asked Questions on LCM of 36020 and 36028

1. What is the LCM of 36020 and 36028?

Answer: LCM of 36020 and 36028 is 324432140.

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 36028?

Answer: Factors of 36028 are 1, 2, 4, 9007, 18014, 36028. There are 6 integers that are factors of 36028. The greatest factor of 36028 is 36028.

4. How to Find the LCM of 36020 and 36028?

Answer:

Least Common Multiple of 36020 and 36028 = 324432140

Step 1: Find the prime factorization of 36020

36020 = 2 x 2 x 5 x 1801

Step 2: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

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

LCM = 324432140 = 2 x 2 x 5 x 1801 x 9007

Step 4: Therefore, the least common multiple of 36020 and 36028 is 324432140.