Least Common Multiple of 5010 and 5018

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 5018 the smallest integer that is 12570090 that is divisible by both numbers.

Least Common Multiple (LCM) of 5010 and 5018 is 12570090.

LCM(5010,5018) = 12570090

LCM of 5010 and 5018

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

LCM of:
and

Least Common Multiple of 5010 and 5018

LCM of 5010 and 5018 is 12570090

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5018. First we will calculate the prime factors of 5010 and 5018.

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 5018


2 5018
13 2509
193 193
1

Prime factors of 5018 are 2, 13,193. Prime factorization of 5018 in exponential form is:

5018 = 21×131×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5018.

LCM(5010,5018) = 21×31×51×131×1671×1931
LCM(5010,5018) = 12570090

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 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1, 2, 13, 26, 193, 386, 2509, 5018

Least Common Multiple of 5010 and 5018 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 5018, than apply into the LCM equation.

GCF(5010,5018) = 2
LCM(5010,5018) = ( 5010 × 5018) / 2
LCM(5010,5018) = 25140180 / 2
LCM(5010,5018) = 12570090

Properties of LCM 5010 and 5018

(i) The LCM of 5018 and 5010 is associative

LCM of 5010 and 5018 = LCM of 5018 and 5010

Related Least Common Multiples of 5010

Related Least Common Multiples of 5018

Frequently Asked Questions on LCM of 5010 and 5018

1. What is the LCM of 5010 and 5018?

Answer: LCM of 5010 and 5018 is 12570090.

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 5018?

Answer: Factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018. There are 8 integers that are factors of 5018. The greatest factor of 5018 is 5018.

4. How to Find the LCM of 5010 and 5018?

Answer:

Least Common Multiple of 5010 and 5018 = 12570090

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5018

5018 = 2 x 13 x 193

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

LCM = 12570090 = 2 x 3 x 5 x 13 x 167 x 193

Step 4: Therefore, the least common multiple of 5010 and 5018 is 12570090.