Least Common Multiple of 4007 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 4007 and 4012 the smallest integer that is 16076084 that is divisible by both numbers.

Least Common Multiple (LCM) of 4007 and 4012 is 16076084.

LCM(4007,4012) = 16076084

LCM of 4007 and 4012

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

LCM of:
and

Least Common Multiple of 4007 and 4012

LCM of 4007 and 4012 is 16076084

Least common multiple can be found by multiplying the highest exponent prime factors of 4007 and 4012. First we will calculate the prime factors of 4007 and 4012.

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 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 4007 and 4012.

LCM(4007,4012) = 22×171×591×40071
LCM(4007,4012) = 16076084

Factors of 4007

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

1, 4007

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 4007 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 4007 and 4012, than apply into the LCM equation.

GCF(4007,4012) = 1
LCM(4007,4012) = ( 4007 × 4012) / 1
LCM(4007,4012) = 16076084 / 1
LCM(4007,4012) = 16076084

Properties of LCM 4007 and 4012

(i) The LCM of 4012 and 4007 is associative

LCM of 4007 and 4012 = LCM of 4012 and 4007

Related Least Common Multiples of 4007

Related Least Common Multiples of 4012

Frequently Asked Questions on LCM of 4007 and 4012

1. What is the LCM of 4007 and 4012?

Answer: LCM of 4007 and 4012 is 16076084.

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 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 4007 and 4012?

Answer:

Least Common Multiple of 4007 and 4012 = 16076084

Step 1: Find the prime factorization of 4007

4007 = 4007

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 = 16076084 = 2 x 2 x 17 x 59 x 4007

Step 4: Therefore, the least common multiple of 4007 and 4012 is 16076084.