Least Common Multiple of 3008 and 3013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3008 and 3013 the smallest integer that is 9063104 that is divisible by both numbers.

Least Common Multiple (LCM) of 3008 and 3013 is 9063104.

LCM(3008,3013) = 9063104

LCM of 3008 and 3013

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

LCM of:
and

Least Common Multiple of 3008 and 3013

LCM of 3008 and 3013 is 9063104

Least common multiple can be found by multiplying the highest exponent prime factors of 3008 and 3013. First we will calculate the prime factors of 3008 and 3013.

Prime Factorization of 3008


2 3008
2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 3008 are 2,47. Prime factorization of 3008 in exponential form is:

3008 = 26×471

Prime Factorization of 3013


23 3013
131 131
1

Prime factors of 3013 are 23,131. Prime factorization of 3013 in exponential form is:

3013 = 231×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3008 and 3013.

LCM(3008,3013) = 26×231×471×1311
LCM(3008,3013) = 9063104

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008

Factors of 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1, 23, 131, 3013

Least Common Multiple of 3008 and 3013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3008 and 3013, than apply into the LCM equation.

GCF(3008,3013) = 1
LCM(3008,3013) = ( 3008 × 3013) / 1
LCM(3008,3013) = 9063104 / 1
LCM(3008,3013) = 9063104

Properties of LCM 3008 and 3013

(i) The LCM of 3013 and 3008 is associative

LCM of 3008 and 3013 = LCM of 3013 and 3008

Related Least Common Multiples of 3008

Related Least Common Multiples of 3013

Frequently Asked Questions on LCM of 3008 and 3013

1. What is the LCM of 3008 and 3013?

Answer: LCM of 3008 and 3013 is 9063104.

2. What are the Factors of 3008?

Answer: Factors of 3008 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008. There are 14 integers that are factors of 3008. The greatest factor of 3008 is 3008.

3. What are the Factors of 3013?

Answer: Factors of 3013 are 1, 23, 131, 3013. There are 4 integers that are factors of 3013. The greatest factor of 3013 is 3013.

4. How to Find the LCM of 3008 and 3013?

Answer:

Least Common Multiple of 3008 and 3013 = 9063104

Step 1: Find the prime factorization of 3008

3008 = 2 x 2 x 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 3013

3013 = 23 x 131

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

LCM = 9063104 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 47 x 131

Step 4: Therefore, the least common multiple of 3008 and 3013 is 9063104.