Least Common Multiple of 1004 and 1009

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 1009 the smallest integer that is 1013036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1004 and 1009 is 1013036.

LCM(1004,1009) = 1013036

LCM of 1004 and 1009

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

LCM of:
and

Least Common Multiple of 1004 and 1009

LCM of 1004 and 1009 is 1013036

Least common multiple can be found by multiplying the highest exponent prime factors of 1004 and 1009. First we will calculate the prime factors of 1004 and 1009.

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 1009


1009 1009
1

Prime factors of 1009 are 1009. Prime factorization of 1009 in exponential form is:

1009 = 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 1004 and 1009.

LCM(1004,1009) = 22×2511×10091
LCM(1004,1009) = 1013036

Factors of 1004

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

1, 2, 4, 251, 502, 1004

Factors of 1009

List of positive integer factors of 1009 that divides 1009 without a remainder.

1, 1009

Least Common Multiple of 1004 and 1009 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 1009, than apply into the LCM equation.

GCF(1004,1009) = 1
LCM(1004,1009) = ( 1004 × 1009) / 1
LCM(1004,1009) = 1013036 / 1
LCM(1004,1009) = 1013036

Properties of LCM 1004 and 1009

(i) The LCM of 1009 and 1004 is associative

LCM of 1004 and 1009 = LCM of 1009 and 1004

Related Least Common Multiples of 1004

Related Least Common Multiples of 1009

Frequently Asked Questions on LCM of 1004 and 1009

1. What is the LCM of 1004 and 1009?

Answer: LCM of 1004 and 1009 is 1013036.

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 1009?

Answer: Factors of 1009 are 1, 1009. There are 2 integers that are factors of 1009. The greatest factor of 1009 is 1009.

4. How to Find the LCM of 1004 and 1009?

Answer:

Least Common Multiple of 1004 and 1009 = 1013036

Step 1: Find the prime factorization of 1004

1004 = 2 x 2 x 251

Step 2: Find the prime factorization of 1009

1009 = 1009

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

LCM = 1013036 = 2 x 2 x 251 x 1009

Step 4: Therefore, the least common multiple of 1004 and 1009 is 1013036.