Least Common Multiple of 10031 and 10038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10031 and 10038 the smallest integer that is 14384454 that is divisible by both numbers.

Least Common Multiple (LCM) of 10031 and 10038 is 14384454.

LCM(10031,10038) = 14384454

LCM of 10031 and 10038

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

LCM of:
and

Least Common Multiple of 10031 and 10038

LCM of 10031 and 10038 is 14384454

Least common multiple can be found by multiplying the highest exponent prime factors of 10031 and 10038. First we will calculate the prime factors of 10031 and 10038.

Prime Factorization of 10031


7 10031
1433 1433
1

Prime factors of 10031 are 7,1433. Prime factorization of 10031 in exponential form is:

10031 = 71×14331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10031 and 10038.

LCM(10031,10038) = 21×31×71×2391×14331
LCM(10031,10038) = 14384454

Factors of 10031

List of positive integer factors of 10031 that divides 10031 without a remainder.

1, 7, 1433, 10031

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

Least Common Multiple of 10031 and 10038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10031 and 10038, than apply into the LCM equation.

GCF(10031,10038) = 7
LCM(10031,10038) = ( 10031 × 10038) / 7
LCM(10031,10038) = 100691178 / 7
LCM(10031,10038) = 14384454

Properties of LCM 10031 and 10038

(i) The LCM of 10038 and 10031 is associative

LCM of 10031 and 10038 = LCM of 10038 and 10031

Related Least Common Multiples of 10031

Related Least Common Multiples of 10038

Frequently Asked Questions on LCM of 10031 and 10038

1. What is the LCM of 10031 and 10038?

Answer: LCM of 10031 and 10038 is 14384454.

2. What are the Factors of 10031?

Answer: Factors of 10031 are 1, 7, 1433, 10031. There are 4 integers that are factors of 10031. The greatest factor of 10031 is 10031.

3. 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.

4. How to Find the LCM of 10031 and 10038?

Answer:

Least Common Multiple of 10031 and 10038 = 14384454

Step 1: Find the prime factorization of 10031

10031 = 7 x 1433

Step 2: Find the prime factorization of 10038

10038 = 2 x 3 x 7 x 239

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

LCM = 14384454 = 2 x 3 x 7 x 239 x 1433

Step 4: Therefore, the least common multiple of 10031 and 10038 is 14384454.