Least Common Multiple of 40011 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 40011 and 40017 the smallest integer that is 533706729 that is divisible by both numbers.

Least Common Multiple (LCM) of 40011 and 40017 is 533706729.

LCM(40011,40017) = 533706729

LCM of 40011 and 40017

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

LCM of:
and

Least Common Multiple of 40011 and 40017

LCM of 40011 and 40017 is 533706729

Least common multiple can be found by multiplying the highest exponent prime factors of 40011 and 40017. First we will calculate the prime factors of 40011 and 40017.

Prime Factorization of 40011


3 40011
13337 13337
1

Prime factors of 40011 are 3,13337. Prime factorization of 40011 in exponential form is:

40011 = 31×133371

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 40011 and 40017.

LCM(40011,40017) = 31×133371×133391
LCM(40011,40017) = 533706729

Factors of 40011

List of positive integer factors of 40011 that divides 40011 without a remainder.

1, 3, 13337, 40011

Factors of 40017

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

1, 3, 13339, 40017

Least Common Multiple of 40011 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 40011 and 40017, than apply into the LCM equation.

GCF(40011,40017) = 3
LCM(40011,40017) = ( 40011 × 40017) / 3
LCM(40011,40017) = 1601120187 / 3
LCM(40011,40017) = 533706729

Properties of LCM 40011 and 40017

(i) The LCM of 40017 and 40011 is associative

LCM of 40011 and 40017 = LCM of 40017 and 40011

Related Least Common Multiples of 40011

Related Least Common Multiples of 40017

Frequently Asked Questions on LCM of 40011 and 40017

1. What is the LCM of 40011 and 40017?

Answer: LCM of 40011 and 40017 is 533706729.

2. What are the Factors of 40011?

Answer: Factors of 40011 are 1, 3, 13337, 40011. There are 4 integers that are factors of 40011. The greatest factor of 40011 is 40011.

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 40011 and 40017?

Answer:

Least Common Multiple of 40011 and 40017 = 533706729

Step 1: Find the prime factorization of 40011

40011 = 3 x 13337

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 = 533706729 = 3 x 13337 x 13339

Step 4: Therefore, the least common multiple of 40011 and 40017 is 533706729.