Least Common Multiple of 1031 and 1032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1031 and 1032 the smallest integer that is 1063992 that is divisible by both numbers.

Least Common Multiple (LCM) of 1031 and 1032 is 1063992.

LCM(1031,1032) = 1063992

LCM of 1031 and 1032

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

LCM of:
and

Least Common Multiple of 1031 and 1032

LCM of 1031 and 1032 is 1063992

Least common multiple can be found by multiplying the highest exponent prime factors of 1031 and 1032. First we will calculate the prime factors of 1031 and 1032.

Prime Factorization of 1031


1031 1031
1

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

1031 = 10311

Prime Factorization of 1032


2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 1032 are 2, 3,43. Prime factorization of 1032 in exponential form is:

1032 = 23×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1031 and 1032.

LCM(1031,1032) = 23×31×431×10311
LCM(1031,1032) = 1063992

Factors of 1031

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

1, 1031

Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032

Least Common Multiple of 1031 and 1032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1031 and 1032, than apply into the LCM equation.

GCF(1031,1032) = 1
LCM(1031,1032) = ( 1031 × 1032) / 1
LCM(1031,1032) = 1063992 / 1
LCM(1031,1032) = 1063992

Properties of LCM 1031 and 1032

(i) The LCM of 1032 and 1031 is associative

LCM of 1031 and 1032 = LCM of 1032 and 1031

Related Least Common Multiples of 1031

Related Least Common Multiples of 1032

Frequently Asked Questions on LCM of 1031 and 1032

1. What is the LCM of 1031 and 1032?

Answer: LCM of 1031 and 1032 is 1063992.

2. 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.

3. What are the Factors of 1032?

Answer: Factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032. There are 16 integers that are factors of 1032. The greatest factor of 1032 is 1032.

4. How to Find the LCM of 1031 and 1032?

Answer:

Least Common Multiple of 1031 and 1032 = 1063992

Step 1: Find the prime factorization of 1031

1031 = 1031

Step 2: Find the prime factorization of 1032

1032 = 2 x 2 x 2 x 3 x 43

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

LCM = 1063992 = 2 x 2 x 2 x 3 x 43 x 1031

Step 4: Therefore, the least common multiple of 1031 and 1032 is 1063992.