Least Common Multiple of 4008 and 4016

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 4016 the smallest integer that is 2012016 that is divisible by both numbers.

Least Common Multiple (LCM) of 4008 and 4016 is 2012016.

LCM(4008,4016) = 2012016

LCM of 4008 and 4016

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

LCM of:
and

Least Common Multiple of 4008 and 4016

LCM of 4008 and 4016 is 2012016

Least common multiple can be found by multiplying the highest exponent prime factors of 4008 and 4016. First we will calculate the prime factors of 4008 and 4016.

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 4016


2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 4016 are 2,251. Prime factorization of 4016 in exponential form is:

4016 = 24×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 4008 and 4016.

LCM(4008,4016) = 24×31×1671×2511
LCM(4008,4016) = 2012016

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 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016

Least Common Multiple of 4008 and 4016 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 4016, than apply into the LCM equation.

GCF(4008,4016) = 8
LCM(4008,4016) = ( 4008 × 4016) / 8
LCM(4008,4016) = 16096128 / 8
LCM(4008,4016) = 2012016

Properties of LCM 4008 and 4016

(i) The LCM of 4016 and 4008 is associative

LCM of 4008 and 4016 = LCM of 4016 and 4008

Related Least Common Multiples of 4008

Related Least Common Multiples of 4016

Frequently Asked Questions on LCM of 4008 and 4016

1. What is the LCM of 4008 and 4016?

Answer: LCM of 4008 and 4016 is 2012016.

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 4016?

Answer: Factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. There are 10 integers that are factors of 4016. The greatest factor of 4016 is 4016.

4. How to Find the LCM of 4008 and 4016?

Answer:

Least Common Multiple of 4008 and 4016 = 2012016

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 4016

4016 = 2 x 2 x 2 x 2 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 = 2012016 = 2 x 2 x 2 x 2 x 3 x 167 x 251

Step 4: Therefore, the least common multiple of 4008 and 4016 is 2012016.