Least Common Multiple of 7017 and 7023

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 7023 the smallest integer that is 16426797 that is divisible by both numbers.

Least Common Multiple (LCM) of 7017 and 7023 is 16426797.

LCM(7017,7023) = 16426797

LCM of 7017 and 7023

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

LCM of:
and

Least Common Multiple of 7017 and 7023

LCM of 7017 and 7023 is 16426797

Least common multiple can be found by multiplying the highest exponent prime factors of 7017 and 7023. First we will calculate the prime factors of 7017 and 7023.

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 7023


3 7023
2341 2341
1

Prime factors of 7023 are 3,2341. Prime factorization of 7023 in exponential form is:

7023 = 31×23411

Now multiplying the highest exponent prime factors to calculate the LCM of 7017 and 7023.

LCM(7017,7023) = 31×23391×23411
LCM(7017,7023) = 16426797

Factors of 7017

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

1, 3, 2339, 7017

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1, 3, 2341, 7023

Least Common Multiple of 7017 and 7023 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 7023, than apply into the LCM equation.

GCF(7017,7023) = 3
LCM(7017,7023) = ( 7017 × 7023) / 3
LCM(7017,7023) = 49280391 / 3
LCM(7017,7023) = 16426797

Properties of LCM 7017 and 7023

(i) The LCM of 7023 and 7017 is associative

LCM of 7017 and 7023 = LCM of 7023 and 7017

Related Least Common Multiples of 7017

Related Least Common Multiples of 7023

Frequently Asked Questions on LCM of 7017 and 7023

1. What is the LCM of 7017 and 7023?

Answer: LCM of 7017 and 7023 is 16426797.

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 7023?

Answer: Factors of 7023 are 1, 3, 2341, 7023. There are 4 integers that are factors of 7023. The greatest factor of 7023 is 7023.

4. How to Find the LCM of 7017 and 7023?

Answer:

Least Common Multiple of 7017 and 7023 = 16426797

Step 1: Find the prime factorization of 7017

7017 = 3 x 2339

Step 2: Find the prime factorization of 7023

7023 = 3 x 2341

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

LCM = 16426797 = 3 x 2339 x 2341

Step 4: Therefore, the least common multiple of 7017 and 7023 is 16426797.