Least Common Multiple of 4008 and 4012

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 4012 the smallest integer that is 4020024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4008 and 4012 is 4020024.

LCM(4008,4012) = 4020024

LCM of 4008 and 4012

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

LCM of:
and

Least Common Multiple of 4008 and 4012

LCM of 4008 and 4012 is 4020024

Least common multiple can be found by multiplying the highest exponent prime factors of 4008 and 4012. First we will calculate the prime factors of 4008 and 4012.

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 4012


2 4012
2 2006
17 1003
59 59
1

Prime factors of 4012 are 2, 17,59. Prime factorization of 4012 in exponential form is:

4012 = 22×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4008 and 4012.

LCM(4008,4012) = 23×31×171×591×1671
LCM(4008,4012) = 4020024

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 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012

Least Common Multiple of 4008 and 4012 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 4012, than apply into the LCM equation.

GCF(4008,4012) = 4
LCM(4008,4012) = ( 4008 × 4012) / 4
LCM(4008,4012) = 16080096 / 4
LCM(4008,4012) = 4020024

Properties of LCM 4008 and 4012

(i) The LCM of 4012 and 4008 is associative

LCM of 4008 and 4012 = LCM of 4012 and 4008

Related Least Common Multiples of 4008

Related Least Common Multiples of 4012

Frequently Asked Questions on LCM of 4008 and 4012

1. What is the LCM of 4008 and 4012?

Answer: LCM of 4008 and 4012 is 4020024.

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 4012?

Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.

4. How to Find the LCM of 4008 and 4012?

Answer:

Least Common Multiple of 4008 and 4012 = 4020024

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 4012

4012 = 2 x 2 x 17 x 59

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

LCM = 4020024 = 2 x 2 x 2 x 3 x 17 x 59 x 167

Step 4: Therefore, the least common multiple of 4008 and 4012 is 4020024.