Least Common Multiple of 5007 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 5007 and 5012 the smallest integer that is 25095084 that is divisible by both numbers.

Least Common Multiple (LCM) of 5007 and 5012 is 25095084.

LCM(5007,5012) = 25095084

LCM of 5007 and 5012

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

LCM of:
and

Least Common Multiple of 5007 and 5012

LCM of 5007 and 5012 is 25095084

Least common multiple can be found by multiplying the highest exponent prime factors of 5007 and 5012. First we will calculate the prime factors of 5007 and 5012.

Prime Factorization of 5007


3 5007
1669 1669
1

Prime factors of 5007 are 3,1669. Prime factorization of 5007 in exponential form is:

5007 = 31×16691

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 5007 and 5012.

LCM(5007,5012) = 22×31×71×1791×16691
LCM(5007,5012) = 25095084

Factors of 5007

List of positive integer factors of 5007 that divides 5007 without a remainder.

1, 3, 1669, 5007

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 5007 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 5007 and 5012, than apply into the LCM equation.

GCF(5007,5012) = 1
LCM(5007,5012) = ( 5007 × 5012) / 1
LCM(5007,5012) = 25095084 / 1
LCM(5007,5012) = 25095084

Properties of LCM 5007 and 5012

(i) The LCM of 5012 and 5007 is associative

LCM of 5007 and 5012 = LCM of 5012 and 5007

Related Least Common Multiples of 5007

Related Least Common Multiples of 5012

Frequently Asked Questions on LCM of 5007 and 5012

1. What is the LCM of 5007 and 5012?

Answer: LCM of 5007 and 5012 is 25095084.

2. What are the Factors of 5007?

Answer: Factors of 5007 are 1, 3, 1669, 5007. There are 4 integers that are factors of 5007. The greatest factor of 5007 is 5007.

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 5007 and 5012?

Answer:

Least Common Multiple of 5007 and 5012 = 25095084

Step 1: Find the prime factorization of 5007

5007 = 3 x 1669

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 = 25095084 = 2 x 2 x 3 x 7 x 179 x 1669

Step 4: Therefore, the least common multiple of 5007 and 5012 is 25095084.