Least Common Multiple of 1025 and 1033

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 1033 the smallest integer that is 1058825 that is divisible by both numbers.

Least Common Multiple (LCM) of 1025 and 1033 is 1058825.

LCM(1025,1033) = 1058825

LCM of 1025 and 1033

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

LCM of:
and

Least Common Multiple of 1025 and 1033

LCM of 1025 and 1033 is 1058825

Least common multiple can be found by multiplying the highest exponent prime factors of 1025 and 1033. First we will calculate the prime factors of 1025 and 1033.

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 1033


1033 1033
1

Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:

1033 = 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 1025 and 1033.

LCM(1025,1033) = 52×411×10331
LCM(1025,1033) = 1058825

Factors of 1025

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

1, 5, 25, 41, 205, 1025

Factors of 1033

List of positive integer factors of 1033 that divides 1033 without a remainder.

1, 1033

Least Common Multiple of 1025 and 1033 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 1033, than apply into the LCM equation.

GCF(1025,1033) = 1
LCM(1025,1033) = ( 1025 × 1033) / 1
LCM(1025,1033) = 1058825 / 1
LCM(1025,1033) = 1058825

Properties of LCM 1025 and 1033

(i) The LCM of 1033 and 1025 is associative

LCM of 1025 and 1033 = LCM of 1033 and 1025

Related Least Common Multiples of 1025

Related Least Common Multiples of 1033

Frequently Asked Questions on LCM of 1025 and 1033

1. What is the LCM of 1025 and 1033?

Answer: LCM of 1025 and 1033 is 1058825.

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 1033?

Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.

4. How to Find the LCM of 1025 and 1033?

Answer:

Least Common Multiple of 1025 and 1033 = 1058825

Step 1: Find the prime factorization of 1025

1025 = 5 x 5 x 41

Step 2: Find the prime factorization of 1033

1033 = 1033

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

LCM = 1058825 = 5 x 5 x 41 x 1033

Step 4: Therefore, the least common multiple of 1025 and 1033 is 1058825.