Least Common Multiple of 40009 and 40016

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 40016 the smallest integer that is 1601000144 that is divisible by both numbers.

Least Common Multiple (LCM) of 40009 and 40016 is 1601000144.

LCM(40009,40016) = 1601000144

LCM of 40009 and 40016

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

LCM of:
and

Least Common Multiple of 40009 and 40016

LCM of 40009 and 40016 is 1601000144

Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40016. First we will calculate the prime factors of 40009 and 40016.

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 40016


2 40016
2 20008
2 10004
2 5002
41 2501
61 61
1

Prime factors of 40016 are 2, 41,61. Prime factorization of 40016 in exponential form is:

40016 = 24×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40016.

LCM(40009,40016) = 24×411×611×400091
LCM(40009,40016) = 1601000144

Factors of 40009

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

1, 40009

Factors of 40016

List of positive integer factors of 40016 that divides 40016 without a remainder.

1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016

Least Common Multiple of 40009 and 40016 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 40016, than apply into the LCM equation.

GCF(40009,40016) = 1
LCM(40009,40016) = ( 40009 × 40016) / 1
LCM(40009,40016) = 1601000144 / 1
LCM(40009,40016) = 1601000144

Properties of LCM 40009 and 40016

(i) The LCM of 40016 and 40009 is associative

LCM of 40009 and 40016 = LCM of 40016 and 40009

Related Least Common Multiples of 40009

Related Least Common Multiples of 40016

Frequently Asked Questions on LCM of 40009 and 40016

1. What is the LCM of 40009 and 40016?

Answer: LCM of 40009 and 40016 is 1601000144.

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 40016?

Answer: Factors of 40016 are 1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016. There are 20 integers that are factors of 40016. The greatest factor of 40016 is 40016.

4. How to Find the LCM of 40009 and 40016?

Answer:

Least Common Multiple of 40009 and 40016 = 1601000144

Step 1: Find the prime factorization of 40009

40009 = 40009

Step 2: Find the prime factorization of 40016

40016 = 2 x 2 x 2 x 2 x 41 x 61

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

LCM = 1601000144 = 2 x 2 x 2 x 2 x 41 x 61 x 40009

Step 4: Therefore, the least common multiple of 40009 and 40016 is 1601000144.