Least Common Multiple of 4004 and 4010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4004 and 4010 the smallest integer that is 8028020 that is divisible by both numbers.

Least Common Multiple (LCM) of 4004 and 4010 is 8028020.

LCM(4004,4010) = 8028020

LCM of 4004 and 4010

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

LCM of:
and

Least Common Multiple of 4004 and 4010

LCM of 4004 and 4010 is 8028020

Least common multiple can be found by multiplying the highest exponent prime factors of 4004 and 4010. First we will calculate the prime factors of 4004 and 4010.

Prime Factorization of 4004


2 4004
2 2002
7 1001
11 143
13 13
1

Prime factors of 4004 are 2, 7, 11,13. Prime factorization of 4004 in exponential form is:

4004 = 22×71×111×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4004 and 4010.

LCM(4004,4010) = 22×51×71×111×131×4011
LCM(4004,4010) = 8028020

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004

Factors of 4010

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

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

Least Common Multiple of 4004 and 4010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4004 and 4010, than apply into the LCM equation.

GCF(4004,4010) = 2
LCM(4004,4010) = ( 4004 × 4010) / 2
LCM(4004,4010) = 16056040 / 2
LCM(4004,4010) = 8028020

Properties of LCM 4004 and 4010

(i) The LCM of 4010 and 4004 is associative

LCM of 4004 and 4010 = LCM of 4010 and 4004

Related Least Common Multiples of 4004

Related Least Common Multiples of 4010

Frequently Asked Questions on LCM of 4004 and 4010

1. What is the LCM of 4004 and 4010?

Answer: LCM of 4004 and 4010 is 8028020.

2. What are the Factors of 4004?

Answer: Factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004. There are 24 integers that are factors of 4004. The greatest factor of 4004 is 4004.

3. 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.

4. How to Find the LCM of 4004 and 4010?

Answer:

Least Common Multiple of 4004 and 4010 = 8028020

Step 1: Find the prime factorization of 4004

4004 = 2 x 2 x 7 x 11 x 13

Step 2: Find the prime factorization of 4010

4010 = 2 x 5 x 401

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

LCM = 8028020 = 2 x 2 x 5 x 7 x 11 x 13 x 401

Step 4: Therefore, the least common multiple of 4004 and 4010 is 8028020.