Least Common Multiple of 40006 and 40009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40006 and 40009 the smallest integer that is 1600600054 that is divisible by both numbers.

Least Common Multiple (LCM) of 40006 and 40009 is 1600600054.

LCM(40006,40009) = 1600600054

LCM of 40006 and 40009

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

LCM of:
and

Least Common Multiple of 40006 and 40009

LCM of 40006 and 40009 is 1600600054

Least common multiple can be found by multiplying the highest exponent prime factors of 40006 and 40009. First we will calculate the prime factors of 40006 and 40009.

Prime Factorization of 40006


2 40006
83 20003
241 241
1

Prime factors of 40006 are 2, 83,241. Prime factorization of 40006 in exponential form is:

40006 = 21×831×2411

Prime Factorization of 40009


40009 40009
1

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

40009 = 400091

Now multiplying the highest exponent prime factors to calculate the LCM of 40006 and 40009.

LCM(40006,40009) = 21×831×2411×400091
LCM(40006,40009) = 1600600054

Factors of 40006

List of positive integer factors of 40006 that divides 40006 without a remainder.

1, 2, 83, 166, 241, 482, 20003, 40006

Factors of 40009

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

1, 40009

Least Common Multiple of 40006 and 40009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40006 and 40009, than apply into the LCM equation.

GCF(40006,40009) = 1
LCM(40006,40009) = ( 40006 × 40009) / 1
LCM(40006,40009) = 1600600054 / 1
LCM(40006,40009) = 1600600054

Properties of LCM 40006 and 40009

(i) The LCM of 40009 and 40006 is associative

LCM of 40006 and 40009 = LCM of 40009 and 40006

Related Least Common Multiples of 40006

Related Least Common Multiples of 40009

Frequently Asked Questions on LCM of 40006 and 40009

1. What is the LCM of 40006 and 40009?

Answer: LCM of 40006 and 40009 is 1600600054.

2. What are the Factors of 40006?

Answer: Factors of 40006 are 1, 2, 83, 166, 241, 482, 20003, 40006. There are 8 integers that are factors of 40006. The greatest factor of 40006 is 40006.

3. 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.

4. How to Find the LCM of 40006 and 40009?

Answer:

Least Common Multiple of 40006 and 40009 = 1600600054

Step 1: Find the prime factorization of 40006

40006 = 2 x 83 x 241

Step 2: Find the prime factorization of 40009

40009 = 40009

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

LCM = 1600600054 = 2 x 83 x 241 x 40009

Step 4: Therefore, the least common multiple of 40006 and 40009 is 1600600054.