Least Common Multiple of 36000 and 36003

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 36003 the smallest integer that is 432036000 that is divisible by both numbers.

Least Common Multiple (LCM) of 36000 and 36003 is 432036000.

LCM(36000,36003) = 432036000

LCM of 36000 and 36003

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

LCM of:
and

Least Common Multiple of 36000 and 36003

LCM of 36000 and 36003 is 432036000

Least common multiple can be found by multiplying the highest exponent prime factors of 36000 and 36003. First we will calculate the prime factors of 36000 and 36003.

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 36003


3 36003
11 12001
1091 1091
1

Prime factors of 36003 are 3, 11,1091. Prime factorization of 36003 in exponential form is:

36003 = 31×111×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 36000 and 36003.

LCM(36000,36003) = 25×32×53×111×10911
LCM(36000,36003) = 432036000

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 36003

List of positive integer factors of 36003 that divides 36003 without a remainder.

1, 3, 11, 33, 1091, 3273, 12001, 36003

Least Common Multiple of 36000 and 36003 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 36003, than apply into the LCM equation.

GCF(36000,36003) = 3
LCM(36000,36003) = ( 36000 × 36003) / 3
LCM(36000,36003) = 1296108000 / 3
LCM(36000,36003) = 432036000

Properties of LCM 36000 and 36003

(i) The LCM of 36003 and 36000 is associative

LCM of 36000 and 36003 = LCM of 36003 and 36000

Related Least Common Multiples of 36000

Related Least Common Multiples of 36003

Frequently Asked Questions on LCM of 36000 and 36003

1. What is the LCM of 36000 and 36003?

Answer: LCM of 36000 and 36003 is 432036000.

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 36003?

Answer: Factors of 36003 are 1, 3, 11, 33, 1091, 3273, 12001, 36003. There are 8 integers that are factors of 36003. The greatest factor of 36003 is 36003.

4. How to Find the LCM of 36000 and 36003?

Answer:

Least Common Multiple of 36000 and 36003 = 432036000

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 36003

36003 = 3 x 11 x 1091

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

LCM = 432036000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11 x 1091

Step 4: Therefore, the least common multiple of 36000 and 36003 is 432036000.