Least Common Multiple of 4003 and 4007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4003 and 4007 the smallest integer that is 16040021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4003 and 4007 is 16040021.

LCM(4003,4007) = 16040021

LCM of 4003 and 4007

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

LCM of:
and

Least Common Multiple of 4003 and 4007

LCM of 4003 and 4007 is 16040021

Least common multiple can be found by multiplying the highest exponent prime factors of 4003 and 4007. First we will calculate the prime factors of 4003 and 4007.

Prime Factorization of 4003


4003 4003
1

Prime factors of 4003 are 4003. Prime factorization of 4003 in exponential form is:

4003 = 40031

Prime Factorization of 4007


4007 4007
1

Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:

4007 = 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 4003 and 4007.

LCM(4003,4007) = 40031×40071
LCM(4003,4007) = 16040021

Factors of 4003

List of positive integer factors of 4003 that divides 4003 without a remainder.

1, 4003

Factors of 4007

List of positive integer factors of 4007 that divides 4007 without a remainder.

1, 4007

Least Common Multiple of 4003 and 4007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4003 and 4007, than apply into the LCM equation.

GCF(4003,4007) = 1
LCM(4003,4007) = ( 4003 × 4007) / 1
LCM(4003,4007) = 16040021 / 1
LCM(4003,4007) = 16040021

Properties of LCM 4003 and 4007

(i) The LCM of 4007 and 4003 is associative

LCM of 4003 and 4007 = LCM of 4007 and 4003

Related Least Common Multiples of 4003

Related Least Common Multiples of 4007

Frequently Asked Questions on LCM of 4003 and 4007

1. What is the LCM of 4003 and 4007?

Answer: LCM of 4003 and 4007 is 16040021.

2. What are the Factors of 4003?

Answer: Factors of 4003 are 1, 4003. There are 2 integers that are factors of 4003. The greatest factor of 4003 is 4003.

3. What are the Factors of 4007?

Answer: Factors of 4007 are 1, 4007. There are 2 integers that are factors of 4007. The greatest factor of 4007 is 4007.

4. How to Find the LCM of 4003 and 4007?

Answer:

Least Common Multiple of 4003 and 4007 = 16040021

Step 1: Find the prime factorization of 4003

4003 = 4003

Step 2: Find the prime factorization of 4007

4007 = 4007

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

LCM = 16040021 = 4003 x 4007

Step 4: Therefore, the least common multiple of 4003 and 4007 is 16040021.