Least Common Multiple of 36028 and 36033

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 36033 the smallest integer that is 1298196924 that is divisible by both numbers.

Least Common Multiple (LCM) of 36028 and 36033 is 1298196924.

LCM(36028,36033) = 1298196924

LCM of 36028 and 36033

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

LCM of:
and

Least Common Multiple of 36028 and 36033

LCM of 36028 and 36033 is 1298196924

Least common multiple can be found by multiplying the highest exponent prime factors of 36028 and 36033. First we will calculate the prime factors of 36028 and 36033.

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 36033


3 36033
12011 12011
1

Prime factors of 36033 are 3,12011. Prime factorization of 36033 in exponential form is:

36033 = 31×120111

Now multiplying the highest exponent prime factors to calculate the LCM of 36028 and 36033.

LCM(36028,36033) = 22×31×90071×120111
LCM(36028,36033) = 1298196924

Factors of 36028

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

1, 2, 4, 9007, 18014, 36028

Factors of 36033

List of positive integer factors of 36033 that divides 36033 without a remainder.

1, 3, 12011, 36033

Least Common Multiple of 36028 and 36033 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 36033, than apply into the LCM equation.

GCF(36028,36033) = 1
LCM(36028,36033) = ( 36028 × 36033) / 1
LCM(36028,36033) = 1298196924 / 1
LCM(36028,36033) = 1298196924

Properties of LCM 36028 and 36033

(i) The LCM of 36033 and 36028 is associative

LCM of 36028 and 36033 = LCM of 36033 and 36028

Related Least Common Multiples of 36028

Related Least Common Multiples of 36033

Frequently Asked Questions on LCM of 36028 and 36033

1. What is the LCM of 36028 and 36033?

Answer: LCM of 36028 and 36033 is 1298196924.

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 36033?

Answer: Factors of 36033 are 1, 3, 12011, 36033. There are 4 integers that are factors of 36033. The greatest factor of 36033 is 36033.

4. How to Find the LCM of 36028 and 36033?

Answer:

Least Common Multiple of 36028 and 36033 = 1298196924

Step 1: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

Step 2: Find the prime factorization of 36033

36033 = 3 x 12011

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

LCM = 1298196924 = 2 x 2 x 3 x 9007 x 12011

Step 4: Therefore, the least common multiple of 36028 and 36033 is 1298196924.