Least Common Multiple of 4008 and 4013

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 4013 the smallest integer that is 16084104 that is divisible by both numbers.

Least Common Multiple (LCM) of 4008 and 4013 is 16084104.

LCM(4008,4013) = 16084104

LCM of 4008 and 4013

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

LCM of:
and

Least Common Multiple of 4008 and 4013

LCM of 4008 and 4013 is 16084104

Least common multiple can be found by multiplying the highest exponent prime factors of 4008 and 4013. First we will calculate the prime factors of 4008 and 4013.

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 4013


4013 4013
1

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 4008 and 4013.

LCM(4008,4013) = 23×31×1671×40131
LCM(4008,4013) = 16084104

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 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1, 4013

Least Common Multiple of 4008 and 4013 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 4013, than apply into the LCM equation.

GCF(4008,4013) = 1
LCM(4008,4013) = ( 4008 × 4013) / 1
LCM(4008,4013) = 16084104 / 1
LCM(4008,4013) = 16084104

Properties of LCM 4008 and 4013

(i) The LCM of 4013 and 4008 is associative

LCM of 4008 and 4013 = LCM of 4013 and 4008

Related Least Common Multiples of 4008

Related Least Common Multiples of 4013

Frequently Asked Questions on LCM of 4008 and 4013

1. What is the LCM of 4008 and 4013?

Answer: LCM of 4008 and 4013 is 16084104.

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 4013?

Answer: Factors of 4013 are 1, 4013. There are 2 integers that are factors of 4013. The greatest factor of 4013 is 4013.

4. How to Find the LCM of 4008 and 4013?

Answer:

Least Common Multiple of 4008 and 4013 = 16084104

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 4013

4013 = 4013

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

LCM = 16084104 = 2 x 2 x 2 x 3 x 167 x 4013

Step 4: Therefore, the least common multiple of 4008 and 4013 is 16084104.