Least Common Multiple of 1019 and 1025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1019 and 1025 the smallest integer that is 1044475 that is divisible by both numbers.

Least Common Multiple (LCM) of 1019 and 1025 is 1044475.

LCM(1019,1025) = 1044475

LCM of 1019 and 1025

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

LCM of:
and

Least Common Multiple of 1019 and 1025

LCM of 1019 and 1025 is 1044475

Least common multiple can be found by multiplying the highest exponent prime factors of 1019 and 1025. First we will calculate the prime factors of 1019 and 1025.

Prime Factorization of 1019


1019 1019
1

Prime factors of 1019 are 1019. Prime factorization of 1019 in exponential form is:

1019 = 10191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1019 and 1025.

LCM(1019,1025) = 52×411×10191
LCM(1019,1025) = 1044475

Factors of 1019

List of positive integer factors of 1019 that divides 1019 without a remainder.

1, 1019

Factors of 1025

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

1, 5, 25, 41, 205, 1025

Least Common Multiple of 1019 and 1025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1019 and 1025, than apply into the LCM equation.

GCF(1019,1025) = 1
LCM(1019,1025) = ( 1019 × 1025) / 1
LCM(1019,1025) = 1044475 / 1
LCM(1019,1025) = 1044475

Properties of LCM 1019 and 1025

(i) The LCM of 1025 and 1019 is associative

LCM of 1019 and 1025 = LCM of 1025 and 1019

Related Least Common Multiples of 1019

Related Least Common Multiples of 1025

Frequently Asked Questions on LCM of 1019 and 1025

1. What is the LCM of 1019 and 1025?

Answer: LCM of 1019 and 1025 is 1044475.

2. What are the Factors of 1019?

Answer: Factors of 1019 are 1, 1019. There are 2 integers that are factors of 1019. The greatest factor of 1019 is 1019.

3. 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.

4. How to Find the LCM of 1019 and 1025?

Answer:

Least Common Multiple of 1019 and 1025 = 1044475

Step 1: Find the prime factorization of 1019

1019 = 1019

Step 2: Find the prime factorization of 1025

1025 = 5 x 5 x 41

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

LCM = 1044475 = 5 x 5 x 41 x 1019

Step 4: Therefore, the least common multiple of 1019 and 1025 is 1044475.