Least Common Multiple of 36000 and 36008

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 36008 the smallest integer that is 162036000 that is divisible by both numbers.

Least Common Multiple (LCM) of 36000 and 36008 is 162036000.

LCM(36000,36008) = 162036000

LCM of 36000 and 36008

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

LCM of:
and

Least Common Multiple of 36000 and 36008

LCM of 36000 and 36008 is 162036000

Least common multiple can be found by multiplying the highest exponent prime factors of 36000 and 36008. First we will calculate the prime factors of 36000 and 36008.

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 36008


2 36008
2 18004
2 9002
7 4501
643 643
1

Prime factors of 36008 are 2, 7,643. Prime factorization of 36008 in exponential form is:

36008 = 23×71×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 36000 and 36008.

LCM(36000,36008) = 25×32×53×71×6431
LCM(36000,36008) = 162036000

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 36008

List of positive integer factors of 36008 that divides 36008 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008

Least Common Multiple of 36000 and 36008 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 36008, than apply into the LCM equation.

GCF(36000,36008) = 8
LCM(36000,36008) = ( 36000 × 36008) / 8
LCM(36000,36008) = 1296288000 / 8
LCM(36000,36008) = 162036000

Properties of LCM 36000 and 36008

(i) The LCM of 36008 and 36000 is associative

LCM of 36000 and 36008 = LCM of 36008 and 36000

Related Least Common Multiples of 36000

Related Least Common Multiples of 36008

Frequently Asked Questions on LCM of 36000 and 36008

1. What is the LCM of 36000 and 36008?

Answer: LCM of 36000 and 36008 is 162036000.

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 36008?

Answer: Factors of 36008 are 1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008. There are 16 integers that are factors of 36008. The greatest factor of 36008 is 36008.

4. How to Find the LCM of 36000 and 36008?

Answer:

Least Common Multiple of 36000 and 36008 = 162036000

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 36008

36008 = 2 x 2 x 2 x 7 x 643

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

LCM = 162036000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 643

Step 4: Therefore, the least common multiple of 36000 and 36008 is 162036000.