Least Common Multiple of 36000 and 36001

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 36001 the smallest integer that is 1296036000 that is divisible by both numbers.

Least Common Multiple (LCM) of 36000 and 36001 is 1296036000.

LCM(36000,36001) = 1296036000

LCM of 36000 and 36001

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

LCM of:
and

Least Common Multiple of 36000 and 36001

LCM of 36000 and 36001 is 1296036000

Least common multiple can be found by multiplying the highest exponent prime factors of 36000 and 36001. First we will calculate the prime factors of 36000 and 36001.

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 36001


7 36001
37 5143
139 139
1

Prime factors of 36001 are 7, 37,139. Prime factorization of 36001 in exponential form is:

36001 = 71×371×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 36000 and 36001.

LCM(36000,36001) = 25×32×53×71×371×1391
LCM(36000,36001) = 1296036000

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 36001

List of positive integer factors of 36001 that divides 36001 without a remainder.

1, 7, 37, 139, 259, 973, 5143, 36001

Least Common Multiple of 36000 and 36001 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 36001, than apply into the LCM equation.

GCF(36000,36001) = 1
LCM(36000,36001) = ( 36000 × 36001) / 1
LCM(36000,36001) = 1296036000 / 1
LCM(36000,36001) = 1296036000

Properties of LCM 36000 and 36001

(i) The LCM of 36001 and 36000 is associative

LCM of 36000 and 36001 = LCM of 36001 and 36000

Related Least Common Multiples of 36000

Related Least Common Multiples of 36001

Frequently Asked Questions on LCM of 36000 and 36001

1. What is the LCM of 36000 and 36001?

Answer: LCM of 36000 and 36001 is 1296036000.

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 36001?

Answer: Factors of 36001 are 1, 7, 37, 139, 259, 973, 5143, 36001. There are 8 integers that are factors of 36001. The greatest factor of 36001 is 36001.

4. How to Find the LCM of 36000 and 36001?

Answer:

Least Common Multiple of 36000 and 36001 = 1296036000

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 36001

36001 = 7 x 37 x 139

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

LCM = 1296036000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 37 x 139

Step 4: Therefore, the least common multiple of 36000 and 36001 is 1296036000.