Least Common Multiple of 5008 and 5015

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 5015 the smallest integer that is 25115120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5008 and 5015 is 25115120.

LCM(5008,5015) = 25115120

LCM of 5008 and 5015

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

LCM of:
and

Least Common Multiple of 5008 and 5015

LCM of 5008 and 5015 is 25115120

Least common multiple can be found by multiplying the highest exponent prime factors of 5008 and 5015. First we will calculate the prime factors of 5008 and 5015.

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 5015


5 5015
17 1003
59 59
1

Prime factors of 5015 are 5, 17,59. Prime factorization of 5015 in exponential form is:

5015 = 51×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5008 and 5015.

LCM(5008,5015) = 24×51×171×591×3131
LCM(5008,5015) = 25115120

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 5015

List of positive integer factors of 5015 that divides 5015 without a remainder.

1, 5, 17, 59, 85, 295, 1003, 5015

Least Common Multiple of 5008 and 5015 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 5015, than apply into the LCM equation.

GCF(5008,5015) = 1
LCM(5008,5015) = ( 5008 × 5015) / 1
LCM(5008,5015) = 25115120 / 1
LCM(5008,5015) = 25115120

Properties of LCM 5008 and 5015

(i) The LCM of 5015 and 5008 is associative

LCM of 5008 and 5015 = LCM of 5015 and 5008

Related Least Common Multiples of 5008

Related Least Common Multiples of 5015

Frequently Asked Questions on LCM of 5008 and 5015

1. What is the LCM of 5008 and 5015?

Answer: LCM of 5008 and 5015 is 25115120.

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 5015?

Answer: Factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015. There are 8 integers that are factors of 5015. The greatest factor of 5015 is 5015.

4. How to Find the LCM of 5008 and 5015?

Answer:

Least Common Multiple of 5008 and 5015 = 25115120

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 5015

5015 = 5 x 17 x 59

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

LCM = 25115120 = 2 x 2 x 2 x 2 x 5 x 17 x 59 x 313

Step 4: Therefore, the least common multiple of 5008 and 5015 is 25115120.