Least Common Multiple of 5019 and 5023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5019 and 5023 the smallest integer that is 25210437 that is divisible by both numbers.

Least Common Multiple (LCM) of 5019 and 5023 is 25210437.

LCM(5019,5023) = 25210437

LCM of 5019 and 5023

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

LCM of:
and

Least Common Multiple of 5019 and 5023

LCM of 5019 and 5023 is 25210437

Least common multiple can be found by multiplying the highest exponent prime factors of 5019 and 5023. First we will calculate the prime factors of 5019 and 5023.

Prime Factorization of 5019


3 5019
7 1673
239 239
1

Prime factors of 5019 are 3, 7,239. Prime factorization of 5019 in exponential form is:

5019 = 31×71×2391

Prime Factorization of 5023


5023 5023
1

Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:

5023 = 50231

Now multiplying the highest exponent prime factors to calculate the LCM of 5019 and 5023.

LCM(5019,5023) = 31×71×2391×50231
LCM(5019,5023) = 25210437

Factors of 5019

List of positive integer factors of 5019 that divides 5019 without a remainder.

1, 3, 7, 21, 239, 717, 1673, 5019

Factors of 5023

List of positive integer factors of 5023 that divides 5023 without a remainder.

1, 5023

Least Common Multiple of 5019 and 5023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5019 and 5023, than apply into the LCM equation.

GCF(5019,5023) = 1
LCM(5019,5023) = ( 5019 × 5023) / 1
LCM(5019,5023) = 25210437 / 1
LCM(5019,5023) = 25210437

Properties of LCM 5019 and 5023

(i) The LCM of 5023 and 5019 is associative

LCM of 5019 and 5023 = LCM of 5023 and 5019

Related Least Common Multiples of 5019

Related Least Common Multiples of 5023

Frequently Asked Questions on LCM of 5019 and 5023

1. What is the LCM of 5019 and 5023?

Answer: LCM of 5019 and 5023 is 25210437.

2. What are the Factors of 5019?

Answer: Factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019. There are 8 integers that are factors of 5019. The greatest factor of 5019 is 5019.

3. What are the Factors of 5023?

Answer: Factors of 5023 are 1, 5023. There are 2 integers that are factors of 5023. The greatest factor of 5023 is 5023.

4. How to Find the LCM of 5019 and 5023?

Answer:

Least Common Multiple of 5019 and 5023 = 25210437

Step 1: Find the prime factorization of 5019

5019 = 3 x 7 x 239

Step 2: Find the prime factorization of 5023

5023 = 5023

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

LCM = 25210437 = 3 x 7 x 239 x 5023

Step 4: Therefore, the least common multiple of 5019 and 5023 is 25210437.