Least Common Multiple of 9026 and 9031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9026 and 9031 the smallest integer that is 81513806 that is divisible by both numbers.

Least Common Multiple (LCM) of 9026 and 9031 is 81513806.

LCM(9026,9031) = 81513806

LCM of 9026 and 9031

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

LCM of:
and

Least Common Multiple of 9026 and 9031

LCM of 9026 and 9031 is 81513806

Least common multiple can be found by multiplying the highest exponent prime factors of 9026 and 9031. First we will calculate the prime factors of 9026 and 9031.

Prime Factorization of 9026


2 9026
4513 4513
1

Prime factors of 9026 are 2,4513. Prime factorization of 9026 in exponential form is:

9026 = 21×45131

Prime Factorization of 9031


11 9031
821 821
1

Prime factors of 9031 are 11,821. Prime factorization of 9031 in exponential form is:

9031 = 111×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 9026 and 9031.

LCM(9026,9031) = 21×111×8211×45131
LCM(9026,9031) = 81513806

Factors of 9026

List of positive integer factors of 9026 that divides 9026 without a remainder.

1, 2, 4513, 9026

Factors of 9031

List of positive integer factors of 9031 that divides 9031 without a remainder.

1, 11, 821, 9031

Least Common Multiple of 9026 and 9031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9026 and 9031, than apply into the LCM equation.

GCF(9026,9031) = 1
LCM(9026,9031) = ( 9026 × 9031) / 1
LCM(9026,9031) = 81513806 / 1
LCM(9026,9031) = 81513806

Properties of LCM 9026 and 9031

(i) The LCM of 9031 and 9026 is associative

LCM of 9026 and 9031 = LCM of 9031 and 9026

Related Least Common Multiples of 9026

Related Least Common Multiples of 9031

Frequently Asked Questions on LCM of 9026 and 9031

1. What is the LCM of 9026 and 9031?

Answer: LCM of 9026 and 9031 is 81513806.

2. What are the Factors of 9026?

Answer: Factors of 9026 are 1, 2, 4513, 9026. There are 4 integers that are factors of 9026. The greatest factor of 9026 is 9026.

3. What are the Factors of 9031?

Answer: Factors of 9031 are 1, 11, 821, 9031. There are 4 integers that are factors of 9031. The greatest factor of 9031 is 9031.

4. How to Find the LCM of 9026 and 9031?

Answer:

Least Common Multiple of 9026 and 9031 = 81513806

Step 1: Find the prime factorization of 9026

9026 = 2 x 4513

Step 2: Find the prime factorization of 9031

9031 = 11 x 821

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

LCM = 81513806 = 2 x 11 x 821 x 4513

Step 4: Therefore, the least common multiple of 9026 and 9031 is 81513806.