Least Common Multiple of 40006 and 40011

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

• Least Common Multiple of 40006 and 40011 by Prime method
• Least Common Multiple of 40006 and 40011 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40006 and 40011. First we will calculate the prime factors of 40006 and 40011.

Prime Factorization of 40006

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

40006 = 2¹×83¹×241¹

Prime Factorization of 40011

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

40011 = 3¹×13337¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40006 and 40011.

LCM(40006,40011) = 2¹×3¹×83¹×241¹×13337¹
LCM(40006,40011) = 1600680066

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 40011

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

1, 3, 13337, 40011

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40006 and 40011, than apply into the LCM equation.

GCF(40006,40011) = 1
LCM(40006,40011) = ( 40006 × 40011) / 1
LCM(40006,40011) = 1600680066 / 1
LCM(40006,40011) = 1600680066

(i) The LCM of 40011 and 40006 is associative

LCM of 40006 and 40011 = LCM of 40011 and 40006

1. What is the LCM of 40006 and 40011?

Answer: LCM of 40006 and 40011 is 1600680066.

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 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.

4. How to Find the LCM of 40006 and 40011?

Answer:

Least Common Multiple of 40006 and 40011 = 1600680066

Step 1: Find the prime factorization of 40006

40006 = 2 x 83 x 241

Step 2: Find the prime factorization of 40011

40011 = 3 x 13337

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

LCM = 1600680066 = 2 x 3 x 83 x 241 x 13337

Step 4: Therefore, the least common multiple of 40006 and 40011 is 1600680066.