Least Common Multiple of 5010 and 5013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5010 and 5013 the smallest integer that is 8371710 that is divisible by both numbers.

Least Common Multiple (LCM) of 5010 and 5013 is 8371710.

LCM(5010,5013) = 8371710

LCM of 5010 and 5013

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

LCM of:
and

Least Common Multiple of 5010 and 5013

LCM of 5010 and 5013 is 8371710

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5013. First we will calculate the prime factors of 5010 and 5013.

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2, 3, 5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5013.

LCM(5010,5013) = 21×32×51×1671×5571
LCM(5010,5013) = 8371710

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010

Factors of 5013

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

1, 3, 9, 557, 1671, 5013

Least Common Multiple of 5010 and 5013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5010 and 5013, than apply into the LCM equation.

GCF(5010,5013) = 3
LCM(5010,5013) = ( 5010 × 5013) / 3
LCM(5010,5013) = 25115130 / 3
LCM(5010,5013) = 8371710

Properties of LCM 5010 and 5013

(i) The LCM of 5013 and 5010 is associative

LCM of 5010 and 5013 = LCM of 5013 and 5010

Related Least Common Multiples of 5010

Related Least Common Multiples of 5013

Frequently Asked Questions on LCM of 5010 and 5013

1. What is the LCM of 5010 and 5013?

Answer: LCM of 5010 and 5013 is 8371710.

2. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

3. 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.

4. How to Find the LCM of 5010 and 5013?

Answer:

Least Common Multiple of 5010 and 5013 = 8371710

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5013

5013 = 3 x 3 x 557

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

LCM = 8371710 = 2 x 3 x 3 x 5 x 167 x 557

Step 4: Therefore, the least common multiple of 5010 and 5013 is 8371710.