Least Common Multiple of 7019 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 7019 and 7023 the smallest integer that is 49294437 that is divisible by both numbers.

Least Common Multiple (LCM) of 7019 and 7023 is 49294437.

LCM(7019,7023) = 49294437

LCM of 7019 and 7023

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

LCM of:
and

Least Common Multiple of 7019 and 7023

LCM of 7019 and 7023 is 49294437

Least common multiple can be found by multiplying the highest exponent prime factors of 7019 and 7023. First we will calculate the prime factors of 7019 and 7023.

Prime Factorization of 7019


7019 7019
1

Prime factors of 7019 are 7019. Prime factorization of 7019 in exponential form is:

7019 = 70191

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 7019 and 7023.

LCM(7019,7023) = 31×23411×70191
LCM(7019,7023) = 49294437

Factors of 7019

List of positive integer factors of 7019 that divides 7019 without a remainder.

1, 7019

Factors of 7023

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

1, 3, 2341, 7023

Least Common Multiple of 7019 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 7019 and 7023, than apply into the LCM equation.

GCF(7019,7023) = 1
LCM(7019,7023) = ( 7019 × 7023) / 1
LCM(7019,7023) = 49294437 / 1
LCM(7019,7023) = 49294437

Properties of LCM 7019 and 7023

(i) The LCM of 7023 and 7019 is associative

LCM of 7019 and 7023 = LCM of 7023 and 7019

Related Least Common Multiples of 7019

Related Least Common Multiples of 7023

Frequently Asked Questions on LCM of 7019 and 7023

1. What is the LCM of 7019 and 7023?

Answer: LCM of 7019 and 7023 is 49294437.

2. What are the Factors of 7019?

Answer: Factors of 7019 are 1, 7019. There are 2 integers that are factors of 7019. The greatest factor of 7019 is 7019.

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 7019 and 7023?

Answer:

Least Common Multiple of 7019 and 7023 = 49294437

Step 1: Find the prime factorization of 7019

7019 = 7019

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 = 49294437 = 3 x 2341 x 7019

Step 4: Therefore, the least common multiple of 7019 and 7023 is 49294437.