Least Common Multiple of 5008 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 5008 and 5012 the smallest integer that is 6275024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5008 and 5012 is 6275024.

LCM(5008,5012) = 6275024

LCM of 5008 and 5012

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

LCM of:
and

Least Common Multiple of 5008 and 5012

LCM of 5008 and 5012 is 6275024

Least common multiple can be found by multiplying the highest exponent prime factors of 5008 and 5012. First we will calculate the prime factors of 5008 and 5012.

Prime Factorization of 5008


2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 5008 are 2,313. Prime factorization of 5008 in exponential form is:

5008 = 24×3131

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 5008 and 5012.

LCM(5008,5012) = 24×71×1791×3131
LCM(5008,5012) = 6275024

Factors of 5008

List of positive integer factors of 5008 that divides 5008 without a remainder.

1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008

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 5008 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 5008 and 5012, than apply into the LCM equation.

GCF(5008,5012) = 4
LCM(5008,5012) = ( 5008 × 5012) / 4
LCM(5008,5012) = 25100096 / 4
LCM(5008,5012) = 6275024

Properties of LCM 5008 and 5012

(i) The LCM of 5012 and 5008 is associative

LCM of 5008 and 5012 = LCM of 5012 and 5008

Related Least Common Multiples of 5008

Related Least Common Multiples of 5012

Frequently Asked Questions on LCM of 5008 and 5012

1. What is the LCM of 5008 and 5012?

Answer: LCM of 5008 and 5012 is 6275024.

2. What are the Factors of 5008?

Answer: Factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008. There are 10 integers that are factors of 5008. The greatest factor of 5008 is 5008.

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 5008 and 5012?

Answer:

Least Common Multiple of 5008 and 5012 = 6275024

Step 1: Find the prime factorization of 5008

5008 = 2 x 2 x 2 x 2 x 313

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 = 6275024 = 2 x 2 x 2 x 2 x 7 x 179 x 313

Step 4: Therefore, the least common multiple of 5008 and 5012 is 6275024.