Least Common Multiple of 3008 and 3015

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 3015 the smallest integer that is 9069120 that is divisible by both numbers.

Least Common Multiple (LCM) of 3008 and 3015 is 9069120.

LCM(3008,3015) = 9069120

LCM of 3008 and 3015

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

LCM of:
and

Least Common Multiple of 3008 and 3015

LCM of 3008 and 3015 is 9069120

Least common multiple can be found by multiplying the highest exponent prime factors of 3008 and 3015. First we will calculate the prime factors of 3008 and 3015.

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 3015


3 3015
3 1005
5 335
67 67
1

Prime factors of 3015 are 3, 5,67. Prime factorization of 3015 in exponential form is:

3015 = 32×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3008 and 3015.

LCM(3008,3015) = 26×32×51×471×671
LCM(3008,3015) = 9069120

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 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015

Least Common Multiple of 3008 and 3015 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 3015, than apply into the LCM equation.

GCF(3008,3015) = 1
LCM(3008,3015) = ( 3008 × 3015) / 1
LCM(3008,3015) = 9069120 / 1
LCM(3008,3015) = 9069120

Properties of LCM 3008 and 3015

(i) The LCM of 3015 and 3008 is associative

LCM of 3008 and 3015 = LCM of 3015 and 3008

Related Least Common Multiples of 3008

Related Least Common Multiples of 3015

Frequently Asked Questions on LCM of 3008 and 3015

1. What is the LCM of 3008 and 3015?

Answer: LCM of 3008 and 3015 is 9069120.

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 3015?

Answer: Factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015. There are 12 integers that are factors of 3015. The greatest factor of 3015 is 3015.

4. How to Find the LCM of 3008 and 3015?

Answer:

Least Common Multiple of 3008 and 3015 = 9069120

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 3015

3015 = 3 x 3 x 5 x 67

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

LCM = 9069120 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 47 x 67

Step 4: Therefore, the least common multiple of 3008 and 3015 is 9069120.