Least Common Multiple of 5006 and 5012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5006 and 5012 the smallest integer that is 12545036 that is divisible by both numbers.

Least Common Multiple (LCM) of 5006 and 5012 is 12545036.

LCM(5006,5012) = 12545036

LCM of 5006 and 5012

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

LCM of:
and

Least Common Multiple of 5006 and 5012

LCM of 5006 and 5012 is 12545036

Least common multiple can be found by multiplying the highest exponent prime factors of 5006 and 5012. First we will calculate the prime factors of 5006 and 5012.

Prime Factorization of 5006


2 5006
2503 2503
1

Prime factors of 5006 are 2,2503. Prime factorization of 5006 in exponential form is:

5006 = 21×25031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5006 and 5012.

LCM(5006,5012) = 22×71×1791×25031
LCM(5006,5012) = 12545036

Factors of 5006

List of positive integer factors of 5006 that divides 5006 without a remainder.

1, 2, 2503, 5006

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

Least Common Multiple of 5006 and 5012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5006 and 5012, than apply into the LCM equation.

GCF(5006,5012) = 2
LCM(5006,5012) = ( 5006 × 5012) / 2
LCM(5006,5012) = 25090072 / 2
LCM(5006,5012) = 12545036

Properties of LCM 5006 and 5012

(i) The LCM of 5012 and 5006 is associative

LCM of 5006 and 5012 = LCM of 5012 and 5006

Related Least Common Multiples of 5006

Related Least Common Multiples of 5012

Frequently Asked Questions on LCM of 5006 and 5012

1. What is the LCM of 5006 and 5012?

Answer: LCM of 5006 and 5012 is 12545036.

2. What are the Factors of 5006?

Answer: Factors of 5006 are 1, 2, 2503, 5006. There are 4 integers that are factors of 5006. The greatest factor of 5006 is 5006.

3. 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.

4. How to Find the LCM of 5006 and 5012?

Answer:

Least Common Multiple of 5006 and 5012 = 12545036

Step 1: Find the prime factorization of 5006

5006 = 2 x 2503

Step 2: Find the prime factorization of 5012

5012 = 2 x 2 x 7 x 179

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

LCM = 12545036 = 2 x 2 x 7 x 179 x 2503

Step 4: Therefore, the least common multiple of 5006 and 5012 is 12545036.