Least Common Multiple of 10038 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 10038 and 10044 the smallest integer that is 16803612 that is divisible by both numbers.

Least Common Multiple (LCM) of 10038 and 10044 is 16803612.

LCM(10038,10044) = 16803612

LCM of 10038 and 10044

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

LCM of:
and

Least Common Multiple of 10038 and 10044

LCM of 10038 and 10044 is 16803612

Least common multiple can be found by multiplying the highest exponent prime factors of 10038 and 10044. First we will calculate the prime factors of 10038 and 10044.

Prime Factorization of 10038


2 10038
3 5019
7 1673
239 239
1

Prime factors of 10038 are 2, 3, 7,239. Prime factorization of 10038 in exponential form is:

10038 = 21×31×71×2391

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 10038 and 10044.

LCM(10038,10044) = 22×34×71×311×2391
LCM(10038,10044) = 16803612

Factors of 10038

List of positive integer factors of 10038 that divides 10038 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038

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 10038 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 10038 and 10044, than apply into the LCM equation.

GCF(10038,10044) = 6
LCM(10038,10044) = ( 10038 × 10044) / 6
LCM(10038,10044) = 100821672 / 6
LCM(10038,10044) = 16803612

Properties of LCM 10038 and 10044

(i) The LCM of 10044 and 10038 is associative

LCM of 10038 and 10044 = LCM of 10044 and 10038

Related Least Common Multiples of 10038

Related Least Common Multiples of 10044

Frequently Asked Questions on LCM of 10038 and 10044

1. What is the LCM of 10038 and 10044?

Answer: LCM of 10038 and 10044 is 16803612.

2. What are the Factors of 10038?

Answer: Factors of 10038 are 1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038. There are 16 integers that are factors of 10038. The greatest factor of 10038 is 10038.

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 10038 and 10044?

Answer:

Least Common Multiple of 10038 and 10044 = 16803612

Step 1: Find the prime factorization of 10038

10038 = 2 x 3 x 7 x 239

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 = 16803612 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 31 x 239

Step 4: Therefore, the least common multiple of 10038 and 10044 is 16803612.