Least Common Multiple of 4006 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 4006 and 4010 the smallest integer that is 8032030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4006 and 4010 is 8032030.

LCM(4006,4010) = 8032030

LCM of 4006 and 4010

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

LCM of:
and

Least Common Multiple of 4006 and 4010

LCM of 4006 and 4010 is 8032030

Least common multiple can be found by multiplying the highest exponent prime factors of 4006 and 4010. First we will calculate the prime factors of 4006 and 4010.

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 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 4006 and 4010.

LCM(4006,4010) = 21×51×4011×20031
LCM(4006,4010) = 8032030

Factors of 4006

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

1, 2, 2003, 4006

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 4006 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 4006 and 4010, than apply into the LCM equation.

GCF(4006,4010) = 2
LCM(4006,4010) = ( 4006 × 4010) / 2
LCM(4006,4010) = 16064060 / 2
LCM(4006,4010) = 8032030

Properties of LCM 4006 and 4010

(i) The LCM of 4010 and 4006 is associative

LCM of 4006 and 4010 = LCM of 4010 and 4006

Related Least Common Multiples of 4006

Related Least Common Multiples of 4010

Frequently Asked Questions on LCM of 4006 and 4010

1. What is the LCM of 4006 and 4010?

Answer: LCM of 4006 and 4010 is 8032030.

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 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 4006 and 4010?

Answer:

Least Common Multiple of 4006 and 4010 = 8032030

Step 1: Find the prime factorization of 4006

4006 = 2 x 2003

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 = 8032030 = 2 x 5 x 401 x 2003

Step 4: Therefore, the least common multiple of 4006 and 4010 is 8032030.