Least Common Multiple of 3008 and 3012

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 3012 the smallest integer that is 2265024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3008 and 3012 is 2265024.

LCM(3008,3012) = 2265024

LCM of 3008 and 3012

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

LCM of:
and

Least Common Multiple of 3008 and 3012

LCM of 3008 and 3012 is 2265024

Least common multiple can be found by multiplying the highest exponent prime factors of 3008 and 3012. First we will calculate the prime factors of 3008 and 3012.

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 3012


2 3012
2 1506
3 753
251 251
1

Prime factors of 3012 are 2, 3,251. Prime factorization of 3012 in exponential form is:

3012 = 22×31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 3008 and 3012.

LCM(3008,3012) = 26×31×471×2511
LCM(3008,3012) = 2265024

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 3012

List of positive integer factors of 3012 that divides 3012 without a remainder.

1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012

Least Common Multiple of 3008 and 3012 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 3012, than apply into the LCM equation.

GCF(3008,3012) = 4
LCM(3008,3012) = ( 3008 × 3012) / 4
LCM(3008,3012) = 9060096 / 4
LCM(3008,3012) = 2265024

Properties of LCM 3008 and 3012

(i) The LCM of 3012 and 3008 is associative

LCM of 3008 and 3012 = LCM of 3012 and 3008

Related Least Common Multiples of 3008

Related Least Common Multiples of 3012

Frequently Asked Questions on LCM of 3008 and 3012

1. What is the LCM of 3008 and 3012?

Answer: LCM of 3008 and 3012 is 2265024.

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 3012?

Answer: Factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012. There are 12 integers that are factors of 3012. The greatest factor of 3012 is 3012.

4. How to Find the LCM of 3008 and 3012?

Answer:

Least Common Multiple of 3008 and 3012 = 2265024

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 3012

3012 = 2 x 2 x 3 x 251

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

LCM = 2265024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 251

Step 4: Therefore, the least common multiple of 3008 and 3012 is 2265024.