Least Common Multiple of 1006 and 1012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1006 and 1012 the smallest integer that is 509036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1006 and 1012 is 509036.

LCM(1006,1012) = 509036

LCM of 1006 and 1012

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

LCM of:
and

Least Common Multiple of 1006 and 1012

LCM of 1006 and 1012 is 509036

Least common multiple can be found by multiplying the highest exponent prime factors of 1006 and 1012. First we will calculate the prime factors of 1006 and 1012.

Prime Factorization of 1006


2 1006
503 503
1

Prime factors of 1006 are 2,503. Prime factorization of 1006 in exponential form is:

1006 = 21×5031

Prime Factorization of 1012


2 1012
2 506
11 253
23 23
1

Prime factors of 1012 are 2, 11,23. Prime factorization of 1012 in exponential form is:

1012 = 22×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1006 and 1012.

LCM(1006,1012) = 22×111×231×5031
LCM(1006,1012) = 509036

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1, 2, 503, 1006

Factors of 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012

Least Common Multiple of 1006 and 1012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1006 and 1012, than apply into the LCM equation.

GCF(1006,1012) = 2
LCM(1006,1012) = ( 1006 × 1012) / 2
LCM(1006,1012) = 1018072 / 2
LCM(1006,1012) = 509036

Properties of LCM 1006 and 1012

(i) The LCM of 1012 and 1006 is associative

LCM of 1006 and 1012 = LCM of 1012 and 1006

Related Least Common Multiples of 1006

Related Least Common Multiples of 1012

Frequently Asked Questions on LCM of 1006 and 1012

1. What is the LCM of 1006 and 1012?

Answer: LCM of 1006 and 1012 is 509036.

2. What are the Factors of 1006?

Answer: Factors of 1006 are 1, 2, 503, 1006. There are 4 integers that are factors of 1006. The greatest factor of 1006 is 1006.

3. What are the Factors of 1012?

Answer: Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. There are 12 integers that are factors of 1012. The greatest factor of 1012 is 1012.

4. How to Find the LCM of 1006 and 1012?

Answer:

Least Common Multiple of 1006 and 1012 = 509036

Step 1: Find the prime factorization of 1006

1006 = 2 x 503

Step 2: Find the prime factorization of 1012

1012 = 2 x 2 x 11 x 23

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

LCM = 509036 = 2 x 2 x 11 x 23 x 503

Step 4: Therefore, the least common multiple of 1006 and 1012 is 509036.