Least Common Multiple of 36004 and 36009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36004 and 36009 the smallest integer that is 1296468036 that is divisible by both numbers.

Least Common Multiple (LCM) of 36004 and 36009 is 1296468036.

LCM(36004,36009) = 1296468036

LCM of 36004 and 36009

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

LCM of:
and

Least Common Multiple of 36004 and 36009

LCM of 36004 and 36009 is 1296468036

Least common multiple can be found by multiplying the highest exponent prime factors of 36004 and 36009. First we will calculate the prime factors of 36004 and 36009.

Prime Factorization of 36004


2 36004
2 18002
9001 9001
1

Prime factors of 36004 are 2,9001. Prime factorization of 36004 in exponential form is:

36004 = 22×90011

Prime Factorization of 36009


3 36009
3 12003
4001 4001
1

Prime factors of 36009 are 3,4001. Prime factorization of 36009 in exponential form is:

36009 = 32×40011

Now multiplying the highest exponent prime factors to calculate the LCM of 36004 and 36009.

LCM(36004,36009) = 22×32×40011×90011
LCM(36004,36009) = 1296468036

Factors of 36004

List of positive integer factors of 36004 that divides 36004 without a remainder.

1, 2, 4, 9001, 18002, 36004

Factors of 36009

List of positive integer factors of 36009 that divides 36009 without a remainder.

1, 3, 9, 4001, 12003, 36009

Least Common Multiple of 36004 and 36009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36004 and 36009, than apply into the LCM equation.

GCF(36004,36009) = 1
LCM(36004,36009) = ( 36004 × 36009) / 1
LCM(36004,36009) = 1296468036 / 1
LCM(36004,36009) = 1296468036

Properties of LCM 36004 and 36009

(i) The LCM of 36009 and 36004 is associative

LCM of 36004 and 36009 = LCM of 36009 and 36004

Related Least Common Multiples of 36004

Related Least Common Multiples of 36009

Frequently Asked Questions on LCM of 36004 and 36009

1. What is the LCM of 36004 and 36009?

Answer: LCM of 36004 and 36009 is 1296468036.

2. What are the Factors of 36004?

Answer: Factors of 36004 are 1, 2, 4, 9001, 18002, 36004. There are 6 integers that are factors of 36004. The greatest factor of 36004 is 36004.

3. What are the Factors of 36009?

Answer: Factors of 36009 are 1, 3, 9, 4001, 12003, 36009. There are 6 integers that are factors of 36009. The greatest factor of 36009 is 36009.

4. How to Find the LCM of 36004 and 36009?

Answer:

Least Common Multiple of 36004 and 36009 = 1296468036

Step 1: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

Step 2: Find the prime factorization of 36009

36009 = 3 x 3 x 4001

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

LCM = 1296468036 = 2 x 2 x 3 x 3 x 4001 x 9001

Step 4: Therefore, the least common multiple of 36004 and 36009 is 1296468036.