Least Common Multiple of 4008 and 4015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4008 and 4015 the smallest integer that is 16092120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4008 and 4015 is 16092120.

LCM(4008,4015) = 16092120

LCM of 4008 and 4015

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

LCM of:
and

Least Common Multiple of 4008 and 4015

LCM of 4008 and 4015 is 16092120

Least common multiple can be found by multiplying the highest exponent prime factors of 4008 and 4015. First we will calculate the prime factors of 4008 and 4015.

Prime Factorization of 4008


2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 4008 are 2, 3,167. Prime factorization of 4008 in exponential form is:

4008 = 23×31×1671

Prime Factorization of 4015


5 4015
11 803
73 73
1

Prime factors of 4015 are 5, 11,73. Prime factorization of 4015 in exponential form is:

4015 = 51×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4008 and 4015.

LCM(4008,4015) = 23×31×51×111×731×1671
LCM(4008,4015) = 16092120

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008

Factors of 4015

List of positive integer factors of 4015 that divides 4015 without a remainder.

1, 5, 11, 55, 73, 365, 803, 4015

Least Common Multiple of 4008 and 4015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4008 and 4015, than apply into the LCM equation.

GCF(4008,4015) = 1
LCM(4008,4015) = ( 4008 × 4015) / 1
LCM(4008,4015) = 16092120 / 1
LCM(4008,4015) = 16092120

Properties of LCM 4008 and 4015

(i) The LCM of 4015 and 4008 is associative

LCM of 4008 and 4015 = LCM of 4015 and 4008

Related Least Common Multiples of 4008

Related Least Common Multiples of 4015

Frequently Asked Questions on LCM of 4008 and 4015

1. What is the LCM of 4008 and 4015?

Answer: LCM of 4008 and 4015 is 16092120.

2. What are the Factors of 4008?

Answer: Factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008. There are 16 integers that are factors of 4008. The greatest factor of 4008 is 4008.

3. What are the Factors of 4015?

Answer: Factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015. There are 8 integers that are factors of 4015. The greatest factor of 4015 is 4015.

4. How to Find the LCM of 4008 and 4015?

Answer:

Least Common Multiple of 4008 and 4015 = 16092120

Step 1: Find the prime factorization of 4008

4008 = 2 x 2 x 2 x 3 x 167

Step 2: Find the prime factorization of 4015

4015 = 5 x 11 x 73

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

LCM = 16092120 = 2 x 2 x 2 x 3 x 5 x 11 x 73 x 167

Step 4: Therefore, the least common multiple of 4008 and 4015 is 16092120.