Least Common Multiple of 4006 and 4011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4006 and 4011 the smallest integer that is 16068066 that is divisible by both numbers.

Least Common Multiple (LCM) of 4006 and 4011 is 16068066.

LCM(4006,4011) = 16068066

LCM of 4006 and 4011

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

LCM of:
and

Least Common Multiple of 4006 and 4011

LCM of 4006 and 4011 is 16068066

Least common multiple can be found by multiplying the highest exponent prime factors of 4006 and 4011. First we will calculate the prime factors of 4006 and 4011.

Prime Factorization of 4006


2 4006
2003 2003
1

Prime factors of 4006 are 2,2003. Prime factorization of 4006 in exponential form is:

4006 = 21×20031

Prime Factorization of 4011


3 4011
7 1337
191 191
1

Prime factors of 4011 are 3, 7,191. Prime factorization of 4011 in exponential form is:

4011 = 31×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4006 and 4011.

LCM(4006,4011) = 21×31×71×1911×20031
LCM(4006,4011) = 16068066

Factors of 4006

List of positive integer factors of 4006 that divides 4006 without a remainder.

1, 2, 2003, 4006

Factors of 4011

List of positive integer factors of 4011 that divides 4011 without a remainder.

1, 3, 7, 21, 191, 573, 1337, 4011

Least Common Multiple of 4006 and 4011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4006 and 4011, than apply into the LCM equation.

GCF(4006,4011) = 1
LCM(4006,4011) = ( 4006 × 4011) / 1
LCM(4006,4011) = 16068066 / 1
LCM(4006,4011) = 16068066

Properties of LCM 4006 and 4011

(i) The LCM of 4011 and 4006 is associative

LCM of 4006 and 4011 = LCM of 4011 and 4006

Related Least Common Multiples of 4006

Related Least Common Multiples of 4011

Frequently Asked Questions on LCM of 4006 and 4011

1. What is the LCM of 4006 and 4011?

Answer: LCM of 4006 and 4011 is 16068066.

2. What are the Factors of 4006?

Answer: Factors of 4006 are 1, 2, 2003, 4006. There are 4 integers that are factors of 4006. The greatest factor of 4006 is 4006.

3. What are the Factors of 4011?

Answer: Factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011. There are 8 integers that are factors of 4011. The greatest factor of 4011 is 4011.

4. How to Find the LCM of 4006 and 4011?

Answer:

Least Common Multiple of 4006 and 4011 = 16068066

Step 1: Find the prime factorization of 4006

4006 = 2 x 2003

Step 2: Find the prime factorization of 4011

4011 = 3 x 7 x 191

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

LCM = 16068066 = 2 x 3 x 7 x 191 x 2003

Step 4: Therefore, the least common multiple of 4006 and 4011 is 16068066.