Least Common Multiple of 10026 and 10031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10026 and 10031 the smallest integer that is 100570806 that is divisible by both numbers.

Least Common Multiple (LCM) of 10026 and 10031 is 100570806.

LCM(10026,10031) = 100570806

LCM of 10026 and 10031

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

LCM of:
and

Least Common Multiple of 10026 and 10031

LCM of 10026 and 10031 is 100570806

Least common multiple can be found by multiplying the highest exponent prime factors of 10026 and 10031. First we will calculate the prime factors of 10026 and 10031.

Prime Factorization of 10026


2 10026
3 5013
3 1671
557 557
1

Prime factors of 10026 are 2, 3,557. Prime factorization of 10026 in exponential form is:

10026 = 21×32×5571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10026 and 10031.

LCM(10026,10031) = 21×32×71×5571×14331
LCM(10026,10031) = 100570806

Factors of 10026

List of positive integer factors of 10026 that divides 10026 without a remainder.

1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026

Factors of 10031

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

1, 7, 1433, 10031

Least Common Multiple of 10026 and 10031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10026 and 10031, than apply into the LCM equation.

GCF(10026,10031) = 1
LCM(10026,10031) = ( 10026 × 10031) / 1
LCM(10026,10031) = 100570806 / 1
LCM(10026,10031) = 100570806

Properties of LCM 10026 and 10031

(i) The LCM of 10031 and 10026 is associative

LCM of 10026 and 10031 = LCM of 10031 and 10026

Related Least Common Multiples of 10026

Related Least Common Multiples of 10031

Frequently Asked Questions on LCM of 10026 and 10031

1. What is the LCM of 10026 and 10031?

Answer: LCM of 10026 and 10031 is 100570806.

2. What are the Factors of 10026?

Answer: Factors of 10026 are 1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026. There are 12 integers that are factors of 10026. The greatest factor of 10026 is 10026.

3. 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.

4. How to Find the LCM of 10026 and 10031?

Answer:

Least Common Multiple of 10026 and 10031 = 100570806

Step 1: Find the prime factorization of 10026

10026 = 2 x 3 x 3 x 557

Step 2: Find the prime factorization of 10031

10031 = 7 x 1433

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

LCM = 100570806 = 2 x 3 x 3 x 7 x 557 x 1433

Step 4: Therefore, the least common multiple of 10026 and 10031 is 100570806.