Least Common Multiple of 4006 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 4006 and 4013 the smallest integer that is 16076078 that is divisible by both numbers.

Least Common Multiple (LCM) of 4006 and 4013 is 16076078.

LCM(4006,4013) = 16076078

LCM of 4006 and 4013

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

LCM of:
and

Least Common Multiple of 4006 and 4013

LCM of 4006 and 4013 is 16076078

Least common multiple can be found by multiplying the highest exponent prime factors of 4006 and 4013. First we will calculate the prime factors of 4006 and 4013.

Prime Factorization of 4006


2 4006
2003 2003
1

Prime factors of 4006 are 2,2003. Prime factorization of 4006 in exponential form is:

4006 = 21×20031

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 4006 and 4013.

LCM(4006,4013) = 21×20031×40131
LCM(4006,4013) = 16076078

Factors of 4006

List of positive integer factors of 4006 that divides 4006 without a remainder.

1, 2, 2003, 4006

Factors of 4013

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

1, 4013

Least Common Multiple of 4006 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 4006 and 4013, than apply into the LCM equation.

GCF(4006,4013) = 1
LCM(4006,4013) = ( 4006 × 4013) / 1
LCM(4006,4013) = 16076078 / 1
LCM(4006,4013) = 16076078

Properties of LCM 4006 and 4013

(i) The LCM of 4013 and 4006 is associative

LCM of 4006 and 4013 = LCM of 4013 and 4006

Related Least Common Multiples of 4006

Related Least Common Multiples of 4013

Frequently Asked Questions on LCM of 4006 and 4013

1. What is the LCM of 4006 and 4013?

Answer: LCM of 4006 and 4013 is 16076078.

2. What are the Factors of 4006?

Answer: Factors of 4006 are 1, 2, 2003, 4006. There are 4 integers that are factors of 4006. The greatest factor of 4006 is 4006.

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 4006 and 4013?

Answer:

Least Common Multiple of 4006 and 4013 = 16076078

Step 1: Find the prime factorization of 4006

4006 = 2 x 2003

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 = 16076078 = 2 x 2003 x 4013

Step 4: Therefore, the least common multiple of 4006 and 4013 is 16076078.