Least Common Multiple of 1026 and 1031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1026 and 1031 the smallest integer that is 1057806 that is divisible by both numbers.

Least Common Multiple (LCM) of 1026 and 1031 is 1057806.

LCM(1026,1031) = 1057806

LCM of 1026 and 1031

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

LCM of:
and

Least Common Multiple of 1026 and 1031

LCM of 1026 and 1031 is 1057806

Least common multiple can be found by multiplying the highest exponent prime factors of 1026 and 1031. First we will calculate the prime factors of 1026 and 1031.

Prime Factorization of 1026


2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 1026 are 2, 3,19. Prime factorization of 1026 in exponential form is:

1026 = 21×33×191

Prime Factorization of 1031


1031 1031
1

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 1026 and 1031.

LCM(1026,1031) = 21×33×191×10311
LCM(1026,1031) = 1057806

Factors of 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026

Factors of 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1, 1031

Least Common Multiple of 1026 and 1031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1026 and 1031, than apply into the LCM equation.

GCF(1026,1031) = 1
LCM(1026,1031) = ( 1026 × 1031) / 1
LCM(1026,1031) = 1057806 / 1
LCM(1026,1031) = 1057806

Properties of LCM 1026 and 1031

(i) The LCM of 1031 and 1026 is associative

LCM of 1026 and 1031 = LCM of 1031 and 1026

Related Least Common Multiples of 1026

Related Least Common Multiples of 1031

Frequently Asked Questions on LCM of 1026 and 1031

1. What is the LCM of 1026 and 1031?

Answer: LCM of 1026 and 1031 is 1057806.

2. What are the Factors of 1026?

Answer: Factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026. There are 16 integers that are factors of 1026. The greatest factor of 1026 is 1026.

3. What are the Factors of 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

4. How to Find the LCM of 1026 and 1031?

Answer:

Least Common Multiple of 1026 and 1031 = 1057806

Step 1: Find the prime factorization of 1026

1026 = 2 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 1031

1031 = 1031

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

LCM = 1057806 = 2 x 3 x 3 x 3 x 19 x 1031

Step 4: Therefore, the least common multiple of 1026 and 1031 is 1057806.