Least Common Multiple of 40009 and 40017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40009 and 40017 the smallest integer that is 1601040153 that is divisible by both numbers.

Least Common Multiple (LCM) of 40009 and 40017 is 1601040153.

LCM(40009,40017) = 1601040153

LCM of 40009 and 40017

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

LCM of:
and

Least Common Multiple of 40009 and 40017

LCM of 40009 and 40017 is 1601040153

Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40017. First we will calculate the prime factors of 40009 and 40017.

Prime Factorization of 40009


40009 40009
1

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 400091

Prime Factorization of 40017


3 40017
13339 13339
1

Prime factors of 40017 are 3,13339. Prime factorization of 40017 in exponential form is:

40017 = 31×133391

Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40017.

LCM(40009,40017) = 31×133391×400091
LCM(40009,40017) = 1601040153

Factors of 40009

List of positive integer factors of 40009 that divides 40009 without a remainder.

1, 40009

Factors of 40017

List of positive integer factors of 40017 that divides 40017 without a remainder.

1, 3, 13339, 40017

Least Common Multiple of 40009 and 40017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40009 and 40017, than apply into the LCM equation.

GCF(40009,40017) = 1
LCM(40009,40017) = ( 40009 × 40017) / 1
LCM(40009,40017) = 1601040153 / 1
LCM(40009,40017) = 1601040153

Properties of LCM 40009 and 40017

(i) The LCM of 40017 and 40009 is associative

LCM of 40009 and 40017 = LCM of 40017 and 40009

Related Least Common Multiples of 40009

Related Least Common Multiples of 40017

Frequently Asked Questions on LCM of 40009 and 40017

1. What is the LCM of 40009 and 40017?

Answer: LCM of 40009 and 40017 is 1601040153.

2. What are the Factors of 40009?

Answer: Factors of 40009 are 1, 40009. There are 2 integers that are factors of 40009. The greatest factor of 40009 is 40009.

3. What are the Factors of 40017?

Answer: Factors of 40017 are 1, 3, 13339, 40017. There are 4 integers that are factors of 40017. The greatest factor of 40017 is 40017.

4. How to Find the LCM of 40009 and 40017?

Answer:

Least Common Multiple of 40009 and 40017 = 1601040153

Step 1: Find the prime factorization of 40009

40009 = 40009

Step 2: Find the prime factorization of 40017

40017 = 3 x 13339

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

LCM = 1601040153 = 3 x 13339 x 40009

Step 4: Therefore, the least common multiple of 40009 and 40017 is 1601040153.