Least Common Multiple of 1004 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 1004 and 1012 the smallest integer that is 254012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1004 and 1012 is 254012.

LCM(1004,1012) = 254012

LCM of 1004 and 1012

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

LCM of:
and

Least Common Multiple of 1004 and 1012

LCM of 1004 and 1012 is 254012

Least common multiple can be found by multiplying the highest exponent prime factors of 1004 and 1012. First we will calculate the prime factors of 1004 and 1012.

Prime Factorization of 1004


2 1004
2 502
251 251
1

Prime factors of 1004 are 2,251. Prime factorization of 1004 in exponential form is:

1004 = 22×2511

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 1004 and 1012.

LCM(1004,1012) = 22×111×231×2511
LCM(1004,1012) = 254012

Factors of 1004

List of positive integer factors of 1004 that divides 1004 without a remainder.

1, 2, 4, 251, 502, 1004

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 1004 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 1004 and 1012, than apply into the LCM equation.

GCF(1004,1012) = 4
LCM(1004,1012) = ( 1004 × 1012) / 4
LCM(1004,1012) = 1016048 / 4
LCM(1004,1012) = 254012

Properties of LCM 1004 and 1012

(i) The LCM of 1012 and 1004 is associative

LCM of 1004 and 1012 = LCM of 1012 and 1004

Related Least Common Multiples of 1004

Related Least Common Multiples of 1012

Frequently Asked Questions on LCM of 1004 and 1012

1. What is the LCM of 1004 and 1012?

Answer: LCM of 1004 and 1012 is 254012.

2. What are the Factors of 1004?

Answer: Factors of 1004 are 1, 2, 4, 251, 502, 1004. There are 6 integers that are factors of 1004. The greatest factor of 1004 is 1004.

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 1004 and 1012?

Answer:

Least Common Multiple of 1004 and 1012 = 254012

Step 1: Find the prime factorization of 1004

1004 = 2 x 2 x 251

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 = 254012 = 2 x 2 x 11 x 23 x 251

Step 4: Therefore, the least common multiple of 1004 and 1012 is 254012.