Least Common Multiple of 36028 and 36032

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 36032 the smallest integer that is 324540224 that is divisible by both numbers.

Least Common Multiple (LCM) of 36028 and 36032 is 324540224.

LCM(36028,36032) = 324540224

LCM of 36028 and 36032

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

LCM of:
and

Least Common Multiple of 36028 and 36032

LCM of 36028 and 36032 is 324540224

Least common multiple can be found by multiplying the highest exponent prime factors of 36028 and 36032. First we will calculate the prime factors of 36028 and 36032.

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 36032


2 36032
2 18016
2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:

36032 = 26×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 36028 and 36032.

LCM(36028,36032) = 26×5631×90071
LCM(36028,36032) = 324540224

Factors of 36028

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

1, 2, 4, 9007, 18014, 36028

Factors of 36032

List of positive integer factors of 36032 that divides 36032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032

Least Common Multiple of 36028 and 36032 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 36032, than apply into the LCM equation.

GCF(36028,36032) = 4
LCM(36028,36032) = ( 36028 × 36032) / 4
LCM(36028,36032) = 1298160896 / 4
LCM(36028,36032) = 324540224

Properties of LCM 36028 and 36032

(i) The LCM of 36032 and 36028 is associative

LCM of 36028 and 36032 = LCM of 36032 and 36028

Related Least Common Multiples of 36028

Related Least Common Multiples of 36032

Frequently Asked Questions on LCM of 36028 and 36032

1. What is the LCM of 36028 and 36032?

Answer: LCM of 36028 and 36032 is 324540224.

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 36032?

Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.

4. How to Find the LCM of 36028 and 36032?

Answer:

Least Common Multiple of 36028 and 36032 = 324540224

Step 1: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

Step 2: Find the prime factorization of 36032

36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563

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

LCM = 324540224 = 2 x 2 x 2 x 2 x 2 x 2 x 563 x 9007

Step 4: Therefore, the least common multiple of 36028 and 36032 is 324540224.