Least Common Multiple of 27000 and 27003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27000 and 27003 the smallest integer that is 243027000 that is divisible by both numbers.

Least Common Multiple (LCM) of 27000 and 27003 is 243027000.

LCM(27000,27003) = 243027000

LCM of 27000 and 27003

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

LCM of:
and

Least Common Multiple of 27000 and 27003

LCM of 27000 and 27003 is 243027000

Least common multiple can be found by multiplying the highest exponent prime factors of 27000 and 27003. First we will calculate the prime factors of 27000 and 27003.

Prime Factorization of 27000


2 27000
2 13500
2 6750
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 27000 are 2, 3,5. Prime factorization of 27000 in exponential form is:

27000 = 23×33×53

Prime Factorization of 27003


3 27003
9001 9001
1

Prime factors of 27003 are 3,9001. Prime factorization of 27003 in exponential form is:

27003 = 31×90011

Now multiplying the highest exponent prime factors to calculate the LCM of 27000 and 27003.

LCM(27000,27003) = 23×33×53×90011
LCM(27000,27003) = 243027000

Factors of 27000

List of positive integer factors of 27000 that divides 27000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 125, 135, 150, 180, 200, 216, 225, 250, 270, 300, 360, 375, 450, 500, 540, 600, 675, 750, 900, 1000, 1080, 1125, 1350, 1500, 1800, 2250, 2700, 3000, 3375, 4500, 5400, 6750, 9000, 13500, 27000

Factors of 27003

List of positive integer factors of 27003 that divides 27003 without a remainder.

1, 3, 9001, 27003

Least Common Multiple of 27000 and 27003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27000 and 27003, than apply into the LCM equation.

GCF(27000,27003) = 3
LCM(27000,27003) = ( 27000 × 27003) / 3
LCM(27000,27003) = 729081000 / 3
LCM(27000,27003) = 243027000

Properties of LCM 27000 and 27003

(i) The LCM of 27003 and 27000 is associative

LCM of 27000 and 27003 = LCM of 27003 and 27000

Related Least Common Multiples of 27000

Related Least Common Multiples of 27003

Frequently Asked Questions on LCM of 27000 and 27003

1. What is the LCM of 27000 and 27003?

Answer: LCM of 27000 and 27003 is 243027000.

2. What are the Factors of 27000?

Answer: Factors of 27000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 125, 135, 150, 180, 200, 216, 225, 250, 270, 300, 360, 375, 450, 500, 540, 600, 675, 750, 900, 1000, 1080, 1125, 1350, 1500, 1800, 2250, 2700, 3000, 3375, 4500, 5400, 6750, 9000, 13500, 27000. There are 64 integers that are factors of 27000. The greatest factor of 27000 is 27000.

3. What are the Factors of 27003?

Answer: Factors of 27003 are 1, 3, 9001, 27003. There are 4 integers that are factors of 27003. The greatest factor of 27003 is 27003.

4. How to Find the LCM of 27000 and 27003?

Answer:

Least Common Multiple of 27000 and 27003 = 243027000

Step 1: Find the prime factorization of 27000

27000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 27003

27003 = 3 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 = 243027000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 9001

Step 4: Therefore, the least common multiple of 27000 and 27003 is 243027000.