Least Common Multiple of 10036 and 10044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10036 and 10044 the smallest integer that is 25200396 that is divisible by both numbers.

Least Common Multiple (LCM) of 10036 and 10044 is 25200396.

LCM(10036,10044) = 25200396

LCM of 10036 and 10044

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

LCM of:
and

Least Common Multiple of 10036 and 10044

LCM of 10036 and 10044 is 25200396

Least common multiple can be found by multiplying the highest exponent prime factors of 10036 and 10044. First we will calculate the prime factors of 10036 and 10044.

Prime Factorization of 10036


2 10036
2 5018
13 2509
193 193
1

Prime factors of 10036 are 2, 13,193. Prime factorization of 10036 in exponential form is:

10036 = 22×131×1931

Prime Factorization of 10044


2 10044
2 5022
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 10044 are 2, 3,31. Prime factorization of 10044 in exponential form is:

10044 = 22×34×311

Now multiplying the highest exponent prime factors to calculate the LCM of 10036 and 10044.

LCM(10036,10044) = 22×34×131×311×1931
LCM(10036,10044) = 25200396

Factors of 10036

List of positive integer factors of 10036 that divides 10036 without a remainder.

1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018, 10036

Factors of 10044

List of positive integer factors of 10044 that divides 10044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044

Least Common Multiple of 10036 and 10044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10036 and 10044, than apply into the LCM equation.

GCF(10036,10044) = 4
LCM(10036,10044) = ( 10036 × 10044) / 4
LCM(10036,10044) = 100801584 / 4
LCM(10036,10044) = 25200396

Properties of LCM 10036 and 10044

(i) The LCM of 10044 and 10036 is associative

LCM of 10036 and 10044 = LCM of 10044 and 10036

Related Least Common Multiples of 10036

Related Least Common Multiples of 10044

Frequently Asked Questions on LCM of 10036 and 10044

1. What is the LCM of 10036 and 10044?

Answer: LCM of 10036 and 10044 is 25200396.

2. What are the Factors of 10036?

Answer: Factors of 10036 are 1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018, 10036. There are 12 integers that are factors of 10036. The greatest factor of 10036 is 10036.

3. What are the Factors of 10044?

Answer: Factors of 10044 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044. There are 30 integers that are factors of 10044. The greatest factor of 10044 is 10044.

4. How to Find the LCM of 10036 and 10044?

Answer:

Least Common Multiple of 10036 and 10044 = 25200396

Step 1: Find the prime factorization of 10036

10036 = 2 x 2 x 13 x 193

Step 2: Find the prime factorization of 10044

10044 = 2 x 2 x 3 x 3 x 3 x 3 x 31

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

LCM = 25200396 = 2 x 2 x 3 x 3 x 3 x 3 x 13 x 31 x 193

Step 4: Therefore, the least common multiple of 10036 and 10044 is 25200396.