Least Common Multiple of 3001 and 3008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3001 and 3008 the smallest integer that is 9027008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3001 and 3008 is 9027008.

LCM(3001,3008) = 9027008

LCM of 3001 and 3008

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

LCM of:
and

Least Common Multiple of 3001 and 3008

LCM of 3001 and 3008 is 9027008

Least common multiple can be found by multiplying the highest exponent prime factors of 3001 and 3008. First we will calculate the prime factors of 3001 and 3008.

Prime Factorization of 3001


3001 3001
1

Prime factors of 3001 are 3001. Prime factorization of 3001 in exponential form is:

3001 = 30011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3001 and 3008.

LCM(3001,3008) = 26×471×30011
LCM(3001,3008) = 9027008

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1, 3001

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

Least Common Multiple of 3001 and 3008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3001 and 3008, than apply into the LCM equation.

GCF(3001,3008) = 1
LCM(3001,3008) = ( 3001 × 3008) / 1
LCM(3001,3008) = 9027008 / 1
LCM(3001,3008) = 9027008

Properties of LCM 3001 and 3008

(i) The LCM of 3008 and 3001 is associative

LCM of 3001 and 3008 = LCM of 3008 and 3001

Related Least Common Multiples of 3001

Related Least Common Multiples of 3008

Frequently Asked Questions on LCM of 3001 and 3008

1. What is the LCM of 3001 and 3008?

Answer: LCM of 3001 and 3008 is 9027008.

2. What are the Factors of 3001?

Answer: Factors of 3001 are 1, 3001. There are 2 integers that are factors of 3001. The greatest factor of 3001 is 3001.

3. 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.

4. How to Find the LCM of 3001 and 3008?

Answer:

Least Common Multiple of 3001 and 3008 = 9027008

Step 1: Find the prime factorization of 3001

3001 = 3001

Step 2: Find the prime factorization of 3008

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

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

LCM = 9027008 = 2 x 2 x 2 x 2 x 2 x 2 x 47 x 3001

Step 4: Therefore, the least common multiple of 3001 and 3008 is 9027008.