Least Common Multiple of 4010 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 4010 and 4011 the smallest integer that is 16084110 that is divisible by both numbers.

Least Common Multiple (LCM) of 4010 and 4011 is 16084110.

LCM(4010,4011) = 16084110

LCM of 4010 and 4011

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

LCM of:
and

Least Common Multiple of 4010 and 4011

LCM of 4010 and 4011 is 16084110

Least common multiple can be found by multiplying the highest exponent prime factors of 4010 and 4011. First we will calculate the prime factors of 4010 and 4011.

Prime Factorization of 4010


2 4010
5 2005
401 401
1

Prime factors of 4010 are 2, 5,401. Prime factorization of 4010 in exponential form is:

4010 = 21×51×4011

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 4010 and 4011.

LCM(4010,4011) = 21×31×51×71×1911×4011
LCM(4010,4011) = 16084110

Factors of 4010

List of positive integer factors of 4010 that divides 4010 without a remainder.

1, 2, 5, 10, 401, 802, 2005, 4010

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 4010 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 4010 and 4011, than apply into the LCM equation.

GCF(4010,4011) = 1
LCM(4010,4011) = ( 4010 × 4011) / 1
LCM(4010,4011) = 16084110 / 1
LCM(4010,4011) = 16084110

Properties of LCM 4010 and 4011

(i) The LCM of 4011 and 4010 is associative

LCM of 4010 and 4011 = LCM of 4011 and 4010

Related Least Common Multiples of 4010

Related Least Common Multiples of 4011

Frequently Asked Questions on LCM of 4010 and 4011

1. What is the LCM of 4010 and 4011?

Answer: LCM of 4010 and 4011 is 16084110.

2. What are the Factors of 4010?

Answer: Factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010. There are 8 integers that are factors of 4010. The greatest factor of 4010 is 4010.

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 4010 and 4011?

Answer:

Least Common Multiple of 4010 and 4011 = 16084110

Step 1: Find the prime factorization of 4010

4010 = 2 x 5 x 401

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 = 16084110 = 2 x 3 x 5 x 7 x 191 x 401

Step 4: Therefore, the least common multiple of 4010 and 4011 is 16084110.