Least Common Multiple of 4007 and 4014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4007 and 4014 the smallest integer that is 16084098 that is divisible by both numbers.

Least Common Multiple (LCM) of 4007 and 4014 is 16084098.

LCM(4007,4014) = 16084098

LCM of 4007 and 4014

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

LCM of:
and

Least Common Multiple of 4007 and 4014

LCM of 4007 and 4014 is 16084098

Least common multiple can be found by multiplying the highest exponent prime factors of 4007 and 4014. First we will calculate the prime factors of 4007 and 4014.

Prime Factorization of 4007


4007 4007
1

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

4007 = 40071

Prime Factorization of 4014


2 4014
3 2007
3 669
223 223
1

Prime factors of 4014 are 2, 3,223. Prime factorization of 4014 in exponential form is:

4014 = 21×32×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4007 and 4014.

LCM(4007,4014) = 21×32×2231×40071
LCM(4007,4014) = 16084098

Factors of 4007

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

1, 4007

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

Least Common Multiple of 4007 and 4014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4007 and 4014, than apply into the LCM equation.

GCF(4007,4014) = 1
LCM(4007,4014) = ( 4007 × 4014) / 1
LCM(4007,4014) = 16084098 / 1
LCM(4007,4014) = 16084098

Properties of LCM 4007 and 4014

(i) The LCM of 4014 and 4007 is associative

LCM of 4007 and 4014 = LCM of 4014 and 4007

Related Least Common Multiples of 4007

Related Least Common Multiples of 4014

Frequently Asked Questions on LCM of 4007 and 4014

1. What is the LCM of 4007 and 4014?

Answer: LCM of 4007 and 4014 is 16084098.

2. 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.

3. What are the Factors of 4014?

Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.

4. How to Find the LCM of 4007 and 4014?

Answer:

Least Common Multiple of 4007 and 4014 = 16084098

Step 1: Find the prime factorization of 4007

4007 = 4007

Step 2: Find the prime factorization of 4014

4014 = 2 x 3 x 3 x 223

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

LCM = 16084098 = 2 x 3 x 3 x 223 x 4007

Step 4: Therefore, the least common multiple of 4007 and 4014 is 16084098.