Least Common Multiple of 7017 and 7025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7017 and 7025 the smallest integer that is 49294425 that is divisible by both numbers.

Least Common Multiple (LCM) of 7017 and 7025 is 49294425.

LCM(7017,7025) = 49294425

LCM of 7017 and 7025

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

LCM of:
and

Least Common Multiple of 7017 and 7025

LCM of 7017 and 7025 is 49294425

Least common multiple can be found by multiplying the highest exponent prime factors of 7017 and 7025. First we will calculate the prime factors of 7017 and 7025.

Prime Factorization of 7017


3 7017
2339 2339
1

Prime factors of 7017 are 3,2339. Prime factorization of 7017 in exponential form is:

7017 = 31×23391

Prime Factorization of 7025


5 7025
5 1405
281 281
1

Prime factors of 7025 are 5,281. Prime factorization of 7025 in exponential form is:

7025 = 52×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 7017 and 7025.

LCM(7017,7025) = 31×52×2811×23391
LCM(7017,7025) = 49294425

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1, 3, 2339, 7017

Factors of 7025

List of positive integer factors of 7025 that divides 7025 without a remainder.

1, 5, 25, 281, 1405, 7025

Least Common Multiple of 7017 and 7025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7017 and 7025, than apply into the LCM equation.

GCF(7017,7025) = 1
LCM(7017,7025) = ( 7017 × 7025) / 1
LCM(7017,7025) = 49294425 / 1
LCM(7017,7025) = 49294425

Properties of LCM 7017 and 7025

(i) The LCM of 7025 and 7017 is associative

LCM of 7017 and 7025 = LCM of 7025 and 7017

Related Least Common Multiples of 7017

Related Least Common Multiples of 7025

Frequently Asked Questions on LCM of 7017 and 7025

1. What is the LCM of 7017 and 7025?

Answer: LCM of 7017 and 7025 is 49294425.

2. What are the Factors of 7017?

Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.

3. What are the Factors of 7025?

Answer: Factors of 7025 are 1, 5, 25, 281, 1405, 7025. There are 6 integers that are factors of 7025. The greatest factor of 7025 is 7025.

4. How to Find the LCM of 7017 and 7025?

Answer:

Least Common Multiple of 7017 and 7025 = 49294425

Step 1: Find the prime factorization of 7017

7017 = 3 x 2339

Step 2: Find the prime factorization of 7025

7025 = 5 x 5 x 281

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

LCM = 49294425 = 3 x 5 x 5 x 281 x 2339

Step 4: Therefore, the least common multiple of 7017 and 7025 is 49294425.