Least Common Multiple of 5012 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 5012 and 5018 the smallest integer that is 12575108 that is divisible by both numbers.

Least Common Multiple (LCM) of 5012 and 5018 is 12575108.

LCM(5012,5018) = 12575108

LCM of 5012 and 5018

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

LCM of:
and

Least Common Multiple of 5012 and 5018

LCM of 5012 and 5018 is 12575108

Least common multiple can be found by multiplying the highest exponent prime factors of 5012 and 5018. First we will calculate the prime factors of 5012 and 5018.

Prime Factorization of 5012


2 5012
2 2506
7 1253
179 179
1

Prime factors of 5012 are 2, 7,179. Prime factorization of 5012 in exponential form is:

5012 = 22×71×1791

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 5012 and 5018.

LCM(5012,5018) = 22×71×131×1791×1931
LCM(5012,5018) = 12575108

Factors of 5012

List of positive integer factors of 5012 that divides 5012 without a remainder.

1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012

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 5012 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 5012 and 5018, than apply into the LCM equation.

GCF(5012,5018) = 2
LCM(5012,5018) = ( 5012 × 5018) / 2
LCM(5012,5018) = 25150216 / 2
LCM(5012,5018) = 12575108

Properties of LCM 5012 and 5018

(i) The LCM of 5018 and 5012 is associative

LCM of 5012 and 5018 = LCM of 5018 and 5012

Related Least Common Multiples of 5012

Related Least Common Multiples of 5018

Frequently Asked Questions on LCM of 5012 and 5018

1. What is the LCM of 5012 and 5018?

Answer: LCM of 5012 and 5018 is 12575108.

2. What are the Factors of 5012?

Answer: Factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012. There are 12 integers that are factors of 5012. The greatest factor of 5012 is 5012.

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 5012 and 5018?

Answer:

Least Common Multiple of 5012 and 5018 = 12575108

Step 1: Find the prime factorization of 5012

5012 = 2 x 2 x 7 x 179

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 = 12575108 = 2 x 2 x 7 x 13 x 179 x 193

Step 4: Therefore, the least common multiple of 5012 and 5018 is 12575108.