Least Common Multiple of 4002 and 4009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4002 and 4009 the smallest integer that is 16044018 that is divisible by both numbers.

Least Common Multiple (LCM) of 4002 and 4009 is 16044018.

LCM(4002,4009) = 16044018

LCM of 4002 and 4009

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

LCM of:
and

Least Common Multiple of 4002 and 4009

LCM of 4002 and 4009 is 16044018

Least common multiple can be found by multiplying the highest exponent prime factors of 4002 and 4009. First we will calculate the prime factors of 4002 and 4009.

Prime Factorization of 4002


2 4002
3 2001
23 667
29 29
1

Prime factors of 4002 are 2, 3, 23,29. Prime factorization of 4002 in exponential form is:

4002 = 21×31×231×291

Prime Factorization of 4009


19 4009
211 211
1

Prime factors of 4009 are 19,211. Prime factorization of 4009 in exponential form is:

4009 = 191×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4002 and 4009.

LCM(4002,4009) = 21×31×191×231×291×2111
LCM(4002,4009) = 16044018

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1, 19, 211, 4009

Least Common Multiple of 4002 and 4009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4002 and 4009, than apply into the LCM equation.

GCF(4002,4009) = 1
LCM(4002,4009) = ( 4002 × 4009) / 1
LCM(4002,4009) = 16044018 / 1
LCM(4002,4009) = 16044018

Properties of LCM 4002 and 4009

(i) The LCM of 4009 and 4002 is associative

LCM of 4002 and 4009 = LCM of 4009 and 4002

Related Least Common Multiples of 4002

Related Least Common Multiples of 4009

Frequently Asked Questions on LCM of 4002 and 4009

1. What is the LCM of 4002 and 4009?

Answer: LCM of 4002 and 4009 is 16044018.

2. What are the Factors of 4002?

Answer: Factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002. There are 16 integers that are factors of 4002. The greatest factor of 4002 is 4002.

3. What are the Factors of 4009?

Answer: Factors of 4009 are 1, 19, 211, 4009. There are 4 integers that are factors of 4009. The greatest factor of 4009 is 4009.

4. How to Find the LCM of 4002 and 4009?

Answer:

Least Common Multiple of 4002 and 4009 = 16044018

Step 1: Find the prime factorization of 4002

4002 = 2 x 3 x 23 x 29

Step 2: Find the prime factorization of 4009

4009 = 19 x 211

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

LCM = 16044018 = 2 x 3 x 19 x 23 x 29 x 211

Step 4: Therefore, the least common multiple of 4002 and 4009 is 16044018.