Least Common Multiple of 5013 and 5019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5013 and 5019 the smallest integer that is 8386749 that is divisible by both numbers.

Least Common Multiple (LCM) of 5013 and 5019 is 8386749.

LCM(5013,5019) = 8386749

LCM of 5013 and 5019

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

LCM of:
and

Least Common Multiple of 5013 and 5019

LCM of 5013 and 5019 is 8386749

Least common multiple can be found by multiplying the highest exponent prime factors of 5013 and 5019. First we will calculate the prime factors of 5013 and 5019.

Prime Factorization of 5013


3 5013
3 1671
557 557
1

Prime factors of 5013 are 3,557. Prime factorization of 5013 in exponential form is:

5013 = 32×5571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5013 and 5019.

LCM(5013,5019) = 32×71×2391×5571
LCM(5013,5019) = 8386749

Factors of 5013

List of positive integer factors of 5013 that divides 5013 without a remainder.

1, 3, 9, 557, 1671, 5013

Factors of 5019

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

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

Least Common Multiple of 5013 and 5019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5013 and 5019, than apply into the LCM equation.

GCF(5013,5019) = 3
LCM(5013,5019) = ( 5013 × 5019) / 3
LCM(5013,5019) = 25160247 / 3
LCM(5013,5019) = 8386749

Properties of LCM 5013 and 5019

(i) The LCM of 5019 and 5013 is associative

LCM of 5013 and 5019 = LCM of 5019 and 5013

Related Least Common Multiples of 5013

Related Least Common Multiples of 5019

Frequently Asked Questions on LCM of 5013 and 5019

1. What is the LCM of 5013 and 5019?

Answer: LCM of 5013 and 5019 is 8386749.

2. What are the Factors of 5013?

Answer: Factors of 5013 are 1, 3, 9, 557, 1671, 5013. There are 6 integers that are factors of 5013. The greatest factor of 5013 is 5013.

3. 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.

4. How to Find the LCM of 5013 and 5019?

Answer:

Least Common Multiple of 5013 and 5019 = 8386749

Step 1: Find the prime factorization of 5013

5013 = 3 x 3 x 557

Step 2: Find the prime factorization of 5019

5019 = 3 x 7 x 239

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

LCM = 8386749 = 3 x 3 x 7 x 239 x 557

Step 4: Therefore, the least common multiple of 5013 and 5019 is 8386749.