Least Common Multiple of 36028 and 36035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36028 and 36035 the smallest integer that is 1298268980 that is divisible by both numbers.

Least Common Multiple (LCM) of 36028 and 36035 is 1298268980.

LCM(36028,36035) = 1298268980

LCM of 36028 and 36035

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

LCM of:
and

Least Common Multiple of 36028 and 36035

LCM of 36028 and 36035 is 1298268980

Least common multiple can be found by multiplying the highest exponent prime factors of 36028 and 36035. First we will calculate the prime factors of 36028 and 36035.

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

Prime Factorization of 36035


5 36035
7207 7207
1

Prime factors of 36035 are 5,7207. Prime factorization of 36035 in exponential form is:

36035 = 51×72071

Now multiplying the highest exponent prime factors to calculate the LCM of 36028 and 36035.

LCM(36028,36035) = 22×51×72071×90071
LCM(36028,36035) = 1298268980

Factors of 36028

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

1, 2, 4, 9007, 18014, 36028

Factors of 36035

List of positive integer factors of 36035 that divides 36035 without a remainder.

1, 5, 7207, 36035

Least Common Multiple of 36028 and 36035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36028 and 36035, than apply into the LCM equation.

GCF(36028,36035) = 1
LCM(36028,36035) = ( 36028 × 36035) / 1
LCM(36028,36035) = 1298268980 / 1
LCM(36028,36035) = 1298268980

Properties of LCM 36028 and 36035

(i) The LCM of 36035 and 36028 is associative

LCM of 36028 and 36035 = LCM of 36035 and 36028

Related Least Common Multiples of 36028

Related Least Common Multiples of 36035

Frequently Asked Questions on LCM of 36028 and 36035

1. What is the LCM of 36028 and 36035?

Answer: LCM of 36028 and 36035 is 1298268980.

2. 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.

3. What are the Factors of 36035?

Answer: Factors of 36035 are 1, 5, 7207, 36035. There are 4 integers that are factors of 36035. The greatest factor of 36035 is 36035.

4. How to Find the LCM of 36028 and 36035?

Answer:

Least Common Multiple of 36028 and 36035 = 1298268980

Step 1: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

Step 2: Find the prime factorization of 36035

36035 = 5 x 7207

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

LCM = 1298268980 = 2 x 2 x 5 x 7207 x 9007

Step 4: Therefore, the least common multiple of 36028 and 36035 is 1298268980.