Least Common Multiple of 1004 and 1011

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 1011 the smallest integer that is 1015044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1004 and 1011 is 1015044.

LCM(1004,1011) = 1015044

LCM of 1004 and 1011

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

LCM of:
and

Least Common Multiple of 1004 and 1011

LCM of 1004 and 1011 is 1015044

Least common multiple can be found by multiplying the highest exponent prime factors of 1004 and 1011. First we will calculate the prime factors of 1004 and 1011.

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 1011


3 1011
337 337
1

Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:

1011 = 31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 1004 and 1011.

LCM(1004,1011) = 22×31×2511×3371
LCM(1004,1011) = 1015044

Factors of 1004

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

1, 2, 4, 251, 502, 1004

Factors of 1011

List of positive integer factors of 1011 that divides 1011 without a remainder.

1, 3, 337, 1011

Least Common Multiple of 1004 and 1011 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 1011, than apply into the LCM equation.

GCF(1004,1011) = 1
LCM(1004,1011) = ( 1004 × 1011) / 1
LCM(1004,1011) = 1015044 / 1
LCM(1004,1011) = 1015044

Properties of LCM 1004 and 1011

(i) The LCM of 1011 and 1004 is associative

LCM of 1004 and 1011 = LCM of 1011 and 1004

Related Least Common Multiples of 1004

Related Least Common Multiples of 1011

Frequently Asked Questions on LCM of 1004 and 1011

1. What is the LCM of 1004 and 1011?

Answer: LCM of 1004 and 1011 is 1015044.

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 1011?

Answer: Factors of 1011 are 1, 3, 337, 1011. There are 4 integers that are factors of 1011. The greatest factor of 1011 is 1011.

4. How to Find the LCM of 1004 and 1011?

Answer:

Least Common Multiple of 1004 and 1011 = 1015044

Step 1: Find the prime factorization of 1004

1004 = 2 x 2 x 251

Step 2: Find the prime factorization of 1011

1011 = 3 x 337

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

LCM = 1015044 = 2 x 2 x 3 x 251 x 337

Step 4: Therefore, the least common multiple of 1004 and 1011 is 1015044.