Least Common Multiple of 40006 and 40012

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 40012 the smallest integer that is 800360036 that is divisible by both numbers.

Least Common Multiple (LCM) of 40006 and 40012 is 800360036.

LCM(40006,40012) = 800360036

LCM of 40006 and 40012

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

LCM of:
and

Least Common Multiple of 40006 and 40012

LCM of 40006 and 40012 is 800360036

Least common multiple can be found by multiplying the highest exponent prime factors of 40006 and 40012. First we will calculate the prime factors of 40006 and 40012.

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 40012


2 40012
2 20006
7 10003
1429 1429
1

Prime factors of 40012 are 2, 7,1429. Prime factorization of 40012 in exponential form is:

40012 = 22×71×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 40006 and 40012.

LCM(40006,40012) = 22×71×831×2411×14291
LCM(40006,40012) = 800360036

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 40012

List of positive integer factors of 40012 that divides 40012 without a remainder.

1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012

Least Common Multiple of 40006 and 40012 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 40012, than apply into the LCM equation.

GCF(40006,40012) = 2
LCM(40006,40012) = ( 40006 × 40012) / 2
LCM(40006,40012) = 1600720072 / 2
LCM(40006,40012) = 800360036

Properties of LCM 40006 and 40012

(i) The LCM of 40012 and 40006 is associative

LCM of 40006 and 40012 = LCM of 40012 and 40006

Related Least Common Multiples of 40006

Related Least Common Multiples of 40012

Frequently Asked Questions on LCM of 40006 and 40012

1. What is the LCM of 40006 and 40012?

Answer: LCM of 40006 and 40012 is 800360036.

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 40012?

Answer: Factors of 40012 are 1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012. There are 12 integers that are factors of 40012. The greatest factor of 40012 is 40012.

4. How to Find the LCM of 40006 and 40012?

Answer:

Least Common Multiple of 40006 and 40012 = 800360036

Step 1: Find the prime factorization of 40006

40006 = 2 x 83 x 241

Step 2: Find the prime factorization of 40012

40012 = 2 x 2 x 7 x 1429

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

LCM = 800360036 = 2 x 2 x 7 x 83 x 241 x 1429

Step 4: Therefore, the least common multiple of 40006 and 40012 is 800360036.