Least Common Multiple of 4005 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 4005 and 4013 the smallest integer that is 16072065 that is divisible by both numbers.

Least Common Multiple (LCM) of 4005 and 4013 is 16072065.

LCM(4005,4013) = 16072065

LCM of 4005 and 4013

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

LCM of:
and

Least Common Multiple of 4005 and 4013

LCM of 4005 and 4013 is 16072065

Least common multiple can be found by multiplying the highest exponent prime factors of 4005 and 4013. First we will calculate the prime factors of 4005 and 4013.

Prime Factorization of 4005


3 4005
3 1335
5 445
89 89
1

Prime factors of 4005 are 3, 5,89. Prime factorization of 4005 in exponential form is:

4005 = 32×51×891

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 4005 and 4013.

LCM(4005,4013) = 32×51×891×40131
LCM(4005,4013) = 16072065

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005

Factors of 4013

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

1, 4013

Least Common Multiple of 4005 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 4005 and 4013, than apply into the LCM equation.

GCF(4005,4013) = 1
LCM(4005,4013) = ( 4005 × 4013) / 1
LCM(4005,4013) = 16072065 / 1
LCM(4005,4013) = 16072065

Properties of LCM 4005 and 4013

(i) The LCM of 4013 and 4005 is associative

LCM of 4005 and 4013 = LCM of 4013 and 4005

Related Least Common Multiples of 4005

Related Least Common Multiples of 4013

Frequently Asked Questions on LCM of 4005 and 4013

1. What is the LCM of 4005 and 4013?

Answer: LCM of 4005 and 4013 is 16072065.

2. What are the Factors of 4005?

Answer: Factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005. There are 12 integers that are factors of 4005. The greatest factor of 4005 is 4005.

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 4005 and 4013?

Answer:

Least Common Multiple of 4005 and 4013 = 16072065

Step 1: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

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 = 16072065 = 3 x 3 x 5 x 89 x 4013

Step 4: Therefore, the least common multiple of 4005 and 4013 is 16072065.