Least Common Multiple of 5002 and 5008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5002 and 5008 the smallest integer that is 12525008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5002 and 5008 is 12525008.

LCM(5002,5008) = 12525008

LCM of 5002 and 5008

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

LCM of:
and

Least Common Multiple of 5002 and 5008

LCM of 5002 and 5008 is 12525008

Least common multiple can be found by multiplying the highest exponent prime factors of 5002 and 5008. First we will calculate the prime factors of 5002 and 5008.

Prime Factorization of 5002


2 5002
41 2501
61 61
1

Prime factors of 5002 are 2, 41,61. Prime factorization of 5002 in exponential form is:

5002 = 21×411×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5002 and 5008.

LCM(5002,5008) = 24×411×611×3131
LCM(5002,5008) = 12525008

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1, 2, 41, 61, 82, 122, 2501, 5002

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

Least Common Multiple of 5002 and 5008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5002 and 5008, than apply into the LCM equation.

GCF(5002,5008) = 2
LCM(5002,5008) = ( 5002 × 5008) / 2
LCM(5002,5008) = 25050016 / 2
LCM(5002,5008) = 12525008

Properties of LCM 5002 and 5008

(i) The LCM of 5008 and 5002 is associative

LCM of 5002 and 5008 = LCM of 5008 and 5002

Related Least Common Multiples of 5002

Related Least Common Multiples of 5008

Frequently Asked Questions on LCM of 5002 and 5008

1. What is the LCM of 5002 and 5008?

Answer: LCM of 5002 and 5008 is 12525008.

2. What are the Factors of 5002?

Answer: Factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002. There are 8 integers that are factors of 5002. The greatest factor of 5002 is 5002.

3. 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.

4. How to Find the LCM of 5002 and 5008?

Answer:

Least Common Multiple of 5002 and 5008 = 12525008

Step 1: Find the prime factorization of 5002

5002 = 2 x 41 x 61

Step 2: Find the prime factorization of 5008

5008 = 2 x 2 x 2 x 2 x 313

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

LCM = 12525008 = 2 x 2 x 2 x 2 x 41 x 61 x 313

Step 4: Therefore, the least common multiple of 5002 and 5008 is 12525008.