Least Common Multiple of 8007 and 8012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8007 and 8012 the smallest integer that is 64152084 that is divisible by both numbers.

Least Common Multiple (LCM) of 8007 and 8012 is 64152084.

LCM(8007,8012) = 64152084

LCM of 8007 and 8012

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

LCM of:
and

Least Common Multiple of 8007 and 8012

LCM of 8007 and 8012 is 64152084

Least common multiple can be found by multiplying the highest exponent prime factors of 8007 and 8012. First we will calculate the prime factors of 8007 and 8012.

Prime Factorization of 8007


3 8007
17 2669
157 157
1

Prime factors of 8007 are 3, 17,157. Prime factorization of 8007 in exponential form is:

8007 = 31×171×1571

Prime Factorization of 8012


2 8012
2 4006
2003 2003
1

Prime factors of 8012 are 2,2003. Prime factorization of 8012 in exponential form is:

8012 = 22×20031

Now multiplying the highest exponent prime factors to calculate the LCM of 8007 and 8012.

LCM(8007,8012) = 22×31×171×1571×20031
LCM(8007,8012) = 64152084

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1, 3, 17, 51, 157, 471, 2669, 8007

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1, 2, 4, 2003, 4006, 8012

Least Common Multiple of 8007 and 8012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8007 and 8012, than apply into the LCM equation.

GCF(8007,8012) = 1
LCM(8007,8012) = ( 8007 × 8012) / 1
LCM(8007,8012) = 64152084 / 1
LCM(8007,8012) = 64152084

Properties of LCM 8007 and 8012

(i) The LCM of 8012 and 8007 is associative

LCM of 8007 and 8012 = LCM of 8012 and 8007

Related Least Common Multiples of 8007

Related Least Common Multiples of 8012

Frequently Asked Questions on LCM of 8007 and 8012

1. What is the LCM of 8007 and 8012?

Answer: LCM of 8007 and 8012 is 64152084.

2. What are the Factors of 8007?

Answer: Factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. There are 8 integers that are factors of 8007. The greatest factor of 8007 is 8007.

3. What are the Factors of 8012?

Answer: Factors of 8012 are 1, 2, 4, 2003, 4006, 8012. There are 6 integers that are factors of 8012. The greatest factor of 8012 is 8012.

4. How to Find the LCM of 8007 and 8012?

Answer:

Least Common Multiple of 8007 and 8012 = 64152084

Step 1: Find the prime factorization of 8007

8007 = 3 x 17 x 157

Step 2: Find the prime factorization of 8012

8012 = 2 x 2 x 2003

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

LCM = 64152084 = 2 x 2 x 3 x 17 x 157 x 2003

Step 4: Therefore, the least common multiple of 8007 and 8012 is 64152084.