Least Common Multiple of 3005 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 3005 and 3008 the smallest integer that is 9039040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3005 and 3008 is 9039040.

LCM(3005,3008) = 9039040

LCM of 3005 and 3008

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

LCM of:
and

Least Common Multiple of 3005 and 3008

LCM of 3005 and 3008 is 9039040

Least common multiple can be found by multiplying the highest exponent prime factors of 3005 and 3008. First we will calculate the prime factors of 3005 and 3008.

Prime Factorization of 3005


5 3005
601 601
1

Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:

3005 = 51×6011

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 3005 and 3008.

LCM(3005,3008) = 26×51×471×6011
LCM(3005,3008) = 9039040

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1, 5, 601, 3005

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 3005 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 3005 and 3008, than apply into the LCM equation.

GCF(3005,3008) = 1
LCM(3005,3008) = ( 3005 × 3008) / 1
LCM(3005,3008) = 9039040 / 1
LCM(3005,3008) = 9039040

Properties of LCM 3005 and 3008

(i) The LCM of 3008 and 3005 is associative

LCM of 3005 and 3008 = LCM of 3008 and 3005

Frequently Asked Questions on LCM of 3005 and 3008

1. What is the LCM of 3005 and 3008?

Answer: LCM of 3005 and 3008 is 9039040.

2. What are the Factors of 3005?

Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.

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 3005 and 3008?

Answer:

Least Common Multiple of 3005 and 3008 = 9039040

Step 1: Find the prime factorization of 3005

3005 = 5 x 601

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 = 9039040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 47 x 601

Step 4: Therefore, the least common multiple of 3005 and 3008 is 9039040.