Least Common Multiple of 3008 and 3014

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 3014 the smallest integer that is 4533056 that is divisible by both numbers.

Least Common Multiple (LCM) of 3008 and 3014 is 4533056.

LCM(3008,3014) = 4533056

LCM of 3008 and 3014

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

LCM of:
and

Least Common Multiple of 3008 and 3014

LCM of 3008 and 3014 is 4533056

Least common multiple can be found by multiplying the highest exponent prime factors of 3008 and 3014. First we will calculate the prime factors of 3008 and 3014.

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 3014


2 3014
11 1507
137 137
1

Prime factors of 3014 are 2, 11,137. Prime factorization of 3014 in exponential form is:

3014 = 21×111×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3008 and 3014.

LCM(3008,3014) = 26×111×471×1371
LCM(3008,3014) = 4533056

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 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1, 2, 11, 22, 137, 274, 1507, 3014

Least Common Multiple of 3008 and 3014 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 3014, than apply into the LCM equation.

GCF(3008,3014) = 2
LCM(3008,3014) = ( 3008 × 3014) / 2
LCM(3008,3014) = 9066112 / 2
LCM(3008,3014) = 4533056

Properties of LCM 3008 and 3014

(i) The LCM of 3014 and 3008 is associative

LCM of 3008 and 3014 = LCM of 3014 and 3008

Related Least Common Multiples of 3008

Related Least Common Multiples of 3014

Frequently Asked Questions on LCM of 3008 and 3014

1. What is the LCM of 3008 and 3014?

Answer: LCM of 3008 and 3014 is 4533056.

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 3014?

Answer: Factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014. There are 8 integers that are factors of 3014. The greatest factor of 3014 is 3014.

4. How to Find the LCM of 3008 and 3014?

Answer:

Least Common Multiple of 3008 and 3014 = 4533056

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 3014

3014 = 2 x 11 x 137

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

LCM = 4533056 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 47 x 137

Step 4: Therefore, the least common multiple of 3008 and 3014 is 4533056.