Least Common Multiple of 4001 and 4005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4001 and 4005 the smallest integer that is 16024005 that is divisible by both numbers.

Least Common Multiple (LCM) of 4001 and 4005 is 16024005.

LCM(4001,4005) = 16024005

LCM of 4001 and 4005

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

LCM of:
and

Least Common Multiple of 4001 and 4005

LCM of 4001 and 4005 is 16024005

Least common multiple can be found by multiplying the highest exponent prime factors of 4001 and 4005. First we will calculate the prime factors of 4001 and 4005.

Prime Factorization of 4001


4001 4001
1

Prime factors of 4001 are 4001. Prime factorization of 4001 in exponential form is:

4001 = 40011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4001 and 4005.

LCM(4001,4005) = 32×51×891×40011
LCM(4001,4005) = 16024005

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1, 4001

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

Least Common Multiple of 4001 and 4005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4001 and 4005, than apply into the LCM equation.

GCF(4001,4005) = 1
LCM(4001,4005) = ( 4001 × 4005) / 1
LCM(4001,4005) = 16024005 / 1
LCM(4001,4005) = 16024005

Properties of LCM 4001 and 4005

(i) The LCM of 4005 and 4001 is associative

LCM of 4001 and 4005 = LCM of 4005 and 4001

Related Least Common Multiples of 4001

Related Least Common Multiples of 4005

Frequently Asked Questions on LCM of 4001 and 4005

1. What is the LCM of 4001 and 4005?

Answer: LCM of 4001 and 4005 is 16024005.

2. What are the Factors of 4001?

Answer: Factors of 4001 are 1, 4001. There are 2 integers that are factors of 4001. The greatest factor of 4001 is 4001.

3. 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.

4. How to Find the LCM of 4001 and 4005?

Answer:

Least Common Multiple of 4001 and 4005 = 16024005

Step 1: Find the prime factorization of 4001

4001 = 4001

Step 2: Find the prime factorization of 4005

4005 = 3 x 3 x 5 x 89

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

LCM = 16024005 = 3 x 3 x 5 x 89 x 4001

Step 4: Therefore, the least common multiple of 4001 and 4005 is 16024005.