Least Common Multiple of 4008 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 4008 and 4014 the smallest integer that is 2681352 that is divisible by both numbers.

Least Common Multiple (LCM) of 4008 and 4014 is 2681352.

LCM(4008,4014) = 2681352

LCM of 4008 and 4014

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

LCM of:
and

Least Common Multiple of 4008 and 4014

LCM of 4008 and 4014 is 2681352

Least common multiple can be found by multiplying the highest exponent prime factors of 4008 and 4014. First we will calculate the prime factors of 4008 and 4014.

Prime Factorization of 4008


2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 4008 are 2, 3,167. Prime factorization of 4008 in exponential form is:

4008 = 23×31×1671

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 4008 and 4014.

LCM(4008,4014) = 23×32×1671×2231
LCM(4008,4014) = 2681352

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008

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 4008 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 4008 and 4014, than apply into the LCM equation.

GCF(4008,4014) = 6
LCM(4008,4014) = ( 4008 × 4014) / 6
LCM(4008,4014) = 16088112 / 6
LCM(4008,4014) = 2681352

Properties of LCM 4008 and 4014

(i) The LCM of 4014 and 4008 is associative

LCM of 4008 and 4014 = LCM of 4014 and 4008

Related Least Common Multiples of 4008

Related Least Common Multiples of 4014

Frequently Asked Questions on LCM of 4008 and 4014

1. What is the LCM of 4008 and 4014?

Answer: LCM of 4008 and 4014 is 2681352.

2. What are the Factors of 4008?

Answer: Factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008. There are 16 integers that are factors of 4008. The greatest factor of 4008 is 4008.

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 4008 and 4014?

Answer:

Least Common Multiple of 4008 and 4014 = 2681352

Step 1: Find the prime factorization of 4008

4008 = 2 x 2 x 2 x 3 x 167

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 = 2681352 = 2 x 2 x 2 x 3 x 3 x 167 x 223

Step 4: Therefore, the least common multiple of 4008 and 4014 is 2681352.