Least Common Multiple of 36000 and 36004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36000 and 36004 the smallest integer that is 324036000 that is divisible by both numbers.

Least Common Multiple (LCM) of 36000 and 36004 is 324036000.

LCM(36000,36004) = 324036000

LCM of 36000 and 36004

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

LCM of:
and

Least Common Multiple of 36000 and 36004

LCM of 36000 and 36004 is 324036000

Least common multiple can be found by multiplying the highest exponent prime factors of 36000 and 36004. First we will calculate the prime factors of 36000 and 36004.

Prime Factorization of 36000


2 36000
2 18000
2 9000
2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 36000 are 2, 3,5. Prime factorization of 36000 in exponential form is:

36000 = 25×32×53

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36000 and 36004.

LCM(36000,36004) = 25×32×53×90011
LCM(36000,36004) = 324036000

Factors of 36000

List of positive integer factors of 36000 that divides 36000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 125, 144, 150, 160, 180, 200, 225, 240, 250, 288, 300, 360, 375, 400, 450, 480, 500, 600, 720, 750, 800, 900, 1000, 1125, 1200, 1440, 1500, 1800, 2000, 2250, 2400, 3000, 3600, 4000, 4500, 6000, 7200, 9000, 12000, 18000, 36000

Factors of 36004

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

1, 2, 4, 9001, 18002, 36004

Least Common Multiple of 36000 and 36004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36000 and 36004, than apply into the LCM equation.

GCF(36000,36004) = 4
LCM(36000,36004) = ( 36000 × 36004) / 4
LCM(36000,36004) = 1296144000 / 4
LCM(36000,36004) = 324036000

Properties of LCM 36000 and 36004

(i) The LCM of 36004 and 36000 is associative

LCM of 36000 and 36004 = LCM of 36004 and 36000

Related Least Common Multiples of 36000

Related Least Common Multiples of 36004

Frequently Asked Questions on LCM of 36000 and 36004

1. What is the LCM of 36000 and 36004?

Answer: LCM of 36000 and 36004 is 324036000.

2. What are the Factors of 36000?

Answer: Factors of 36000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 125, 144, 150, 160, 180, 200, 225, 240, 250, 288, 300, 360, 375, 400, 450, 480, 500, 600, 720, 750, 800, 900, 1000, 1125, 1200, 1440, 1500, 1800, 2000, 2250, 2400, 3000, 3600, 4000, 4500, 6000, 7200, 9000, 12000, 18000, 36000. There are 72 integers that are factors of 36000. The greatest factor of 36000 is 36000.

3. 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.

4. How to Find the LCM of 36000 and 36004?

Answer:

Least Common Multiple of 36000 and 36004 = 324036000

Step 1: Find the prime factorization of 36000

36000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

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

LCM = 324036000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 9001

Step 4: Therefore, the least common multiple of 36000 and 36004 is 324036000.