Least Common Multiple of 1025 and 1026

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 1026 the smallest integer that is 1051650 that is divisible by both numbers.

Least Common Multiple (LCM) of 1025 and 1026 is 1051650.

LCM(1025,1026) = 1051650

LCM of 1025 and 1026

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

LCM of:
and

Least Common Multiple of 1025 and 1026

LCM of 1025 and 1026 is 1051650

Least common multiple can be found by multiplying the highest exponent prime factors of 1025 and 1026. First we will calculate the prime factors of 1025 and 1026.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1025 and 1026.

LCM(1025,1026) = 21×33×52×191×411
LCM(1025,1026) = 1051650

Factors of 1025

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

1, 5, 25, 41, 205, 1025

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

Least Common Multiple of 1025 and 1026 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 1026, than apply into the LCM equation.

GCF(1025,1026) = 1
LCM(1025,1026) = ( 1025 × 1026) / 1
LCM(1025,1026) = 1051650 / 1
LCM(1025,1026) = 1051650

Properties of LCM 1025 and 1026

(i) The LCM of 1026 and 1025 is associative

LCM of 1025 and 1026 = LCM of 1026 and 1025

Related Least Common Multiples of 1025

Related Least Common Multiples of 1026

Frequently Asked Questions on LCM of 1025 and 1026

1. What is the LCM of 1025 and 1026?

Answer: LCM of 1025 and 1026 is 1051650.

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 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.

4. How to Find the LCM of 1025 and 1026?

Answer:

Least Common Multiple of 1025 and 1026 = 1051650

Step 1: Find the prime factorization of 1025

1025 = 5 x 5 x 41

Step 2: Find the prime factorization of 1026

1026 = 2 x 3 x 3 x 3 x 19

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

LCM = 1051650 = 2 x 3 x 3 x 3 x 5 x 5 x 19 x 41

Step 4: Therefore, the least common multiple of 1025 and 1026 is 1051650.