Least Common Multiple of 3002 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 3002 and 3008 the smallest integer that is 4515008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3002 and 3008 is 4515008.

LCM(3002,3008) = 4515008

LCM of 3002 and 3008

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

LCM of:
and

Least Common Multiple of 3002 and 3008

LCM of 3002 and 3008 is 4515008

Least common multiple can be found by multiplying the highest exponent prime factors of 3002 and 3008. First we will calculate the prime factors of 3002 and 3008.

Prime Factorization of 3002


2 3002
19 1501
79 79
1

Prime factors of 3002 are 2, 19,79. Prime factorization of 3002 in exponential form is:

3002 = 21×191×791

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 3002 and 3008.

LCM(3002,3008) = 26×191×471×791
LCM(3002,3008) = 4515008

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1, 2, 19, 38, 79, 158, 1501, 3002

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 3002 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 3002 and 3008, than apply into the LCM equation.

GCF(3002,3008) = 2
LCM(3002,3008) = ( 3002 × 3008) / 2
LCM(3002,3008) = 9030016 / 2
LCM(3002,3008) = 4515008

Properties of LCM 3002 and 3008

(i) The LCM of 3008 and 3002 is associative

LCM of 3002 and 3008 = LCM of 3008 and 3002

Related Least Common Multiples of 3002

Related Least Common Multiples of 3008

Frequently Asked Questions on LCM of 3002 and 3008

1. What is the LCM of 3002 and 3008?

Answer: LCM of 3002 and 3008 is 4515008.

2. What are the Factors of 3002?

Answer: Factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002. There are 8 integers that are factors of 3002. The greatest factor of 3002 is 3002.

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 3002 and 3008?

Answer:

Least Common Multiple of 3002 and 3008 = 4515008

Step 1: Find the prime factorization of 3002

3002 = 2 x 19 x 79

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 = 4515008 = 2 x 2 x 2 x 2 x 2 x 2 x 19 x 47 x 79

Step 4: Therefore, the least common multiple of 3002 and 3008 is 4515008.