Least Common Multiple of 40013 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 40013 and 40017 the smallest integer that is 1601200221 that is divisible by both numbers.

Least Common Multiple (LCM) of 40013 and 40017 is 1601200221.

LCM(40013,40017) = 1601200221

LCM of 40013 and 40017

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

LCM of:
and

Least Common Multiple of 40013 and 40017

LCM of 40013 and 40017 is 1601200221

Least common multiple can be found by multiplying the highest exponent prime factors of 40013 and 40017. First we will calculate the prime factors of 40013 and 40017.

Prime Factorization of 40013


40013 40013
1

Prime factors of 40013 are 40013. Prime factorization of 40013 in exponential form is:

40013 = 400131

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 40013 and 40017.

LCM(40013,40017) = 31×133391×400131
LCM(40013,40017) = 1601200221

Factors of 40013

List of positive integer factors of 40013 that divides 40013 without a remainder.

1, 40013

Factors of 40017

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

1, 3, 13339, 40017

Least Common Multiple of 40013 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 40013 and 40017, than apply into the LCM equation.

GCF(40013,40017) = 1
LCM(40013,40017) = ( 40013 × 40017) / 1
LCM(40013,40017) = 1601200221 / 1
LCM(40013,40017) = 1601200221

Properties of LCM 40013 and 40017

(i) The LCM of 40017 and 40013 is associative

LCM of 40013 and 40017 = LCM of 40017 and 40013

Related Least Common Multiples of 40013

Related Least Common Multiples of 40017

Frequently Asked Questions on LCM of 40013 and 40017

1. What is the LCM of 40013 and 40017?

Answer: LCM of 40013 and 40017 is 1601200221.

2. What are the Factors of 40013?

Answer: Factors of 40013 are 1, 40013. There are 2 integers that are factors of 40013. The greatest factor of 40013 is 40013.

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 40013 and 40017?

Answer:

Least Common Multiple of 40013 and 40017 = 1601200221

Step 1: Find the prime factorization of 40013

40013 = 40013

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 = 1601200221 = 3 x 13339 x 40013

Step 4: Therefore, the least common multiple of 40013 and 40017 is 1601200221.