Least Common Multiple of 1025 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 1025 and 1031 the smallest integer that is 1056775 that is divisible by both numbers.

Least Common Multiple (LCM) of 1025 and 1031 is 1056775.

LCM(1025,1031) = 1056775

LCM of 1025 and 1031

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

LCM of:
and

Least Common Multiple of 1025 and 1031

LCM of 1025 and 1031 is 1056775

Least common multiple can be found by multiplying the highest exponent prime factors of 1025 and 1031. First we will calculate the prime factors of 1025 and 1031.

Prime Factorization of 1025


5 1025
5 205
41 41
1

Prime factors of 1025 are 5,41. Prime factorization of 1025 in exponential form is:

1025 = 52×411

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 1025 and 1031.

LCM(1025,1031) = 52×411×10311
LCM(1025,1031) = 1056775

Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1, 5, 25, 41, 205, 1025

Factors of 1031

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

1, 1031

Least Common Multiple of 1025 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 1025 and 1031, than apply into the LCM equation.

GCF(1025,1031) = 1
LCM(1025,1031) = ( 1025 × 1031) / 1
LCM(1025,1031) = 1056775 / 1
LCM(1025,1031) = 1056775

Properties of LCM 1025 and 1031

(i) The LCM of 1031 and 1025 is associative

LCM of 1025 and 1031 = LCM of 1031 and 1025

Related Least Common Multiples of 1025

Related Least Common Multiples of 1031

Frequently Asked Questions on LCM of 1025 and 1031

1. What is the LCM of 1025 and 1031?

Answer: LCM of 1025 and 1031 is 1056775.

2. What are the Factors of 1025?

Answer: Factors of 1025 are 1, 5, 25, 41, 205, 1025. There are 6 integers that are factors of 1025. The greatest factor of 1025 is 1025.

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 1025 and 1031?

Answer:

Least Common Multiple of 1025 and 1031 = 1056775

Step 1: Find the prime factorization of 1025

1025 = 5 x 5 x 41

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 = 1056775 = 5 x 5 x 41 x 1031

Step 4: Therefore, the least common multiple of 1025 and 1031 is 1056775.