Least Common Multiple of 27000 and 27001

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 27001 the smallest integer that is 729027000 that is divisible by both numbers.

Least Common Multiple (LCM) of 27000 and 27001 is 729027000.

LCM(27000,27001) = 729027000

LCM of 27000 and 27001

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

LCM of:
and

Least Common Multiple of 27000 and 27001

LCM of 27000 and 27001 is 729027000

Least common multiple can be found by multiplying the highest exponent prime factors of 27000 and 27001. First we will calculate the prime factors of 27000 and 27001.

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 27001


13 27001
31 2077
67 67
1

Prime factors of 27001 are 13, 31,67. Prime factorization of 27001 in exponential form is:

27001 = 131×311×671

Now multiplying the highest exponent prime factors to calculate the LCM of 27000 and 27001.

LCM(27000,27001) = 23×33×53×131×311×671
LCM(27000,27001) = 729027000

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 27001

List of positive integer factors of 27001 that divides 27001 without a remainder.

1, 13, 31, 67, 403, 871, 2077, 27001

Least Common Multiple of 27000 and 27001 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 27001, than apply into the LCM equation.

GCF(27000,27001) = 1
LCM(27000,27001) = ( 27000 × 27001) / 1
LCM(27000,27001) = 729027000 / 1
LCM(27000,27001) = 729027000

Properties of LCM 27000 and 27001

(i) The LCM of 27001 and 27000 is associative

LCM of 27000 and 27001 = LCM of 27001 and 27000

Related Least Common Multiples of 27000

Related Least Common Multiples of 27001

Frequently Asked Questions on LCM of 27000 and 27001

1. What is the LCM of 27000 and 27001?

Answer: LCM of 27000 and 27001 is 729027000.

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 27001?

Answer: Factors of 27001 are 1, 13, 31, 67, 403, 871, 2077, 27001. There are 8 integers that are factors of 27001. The greatest factor of 27001 is 27001.

4. How to Find the LCM of 27000 and 27001?

Answer:

Least Common Multiple of 27000 and 27001 = 729027000

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 27001

27001 = 13 x 31 x 67

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

LCM = 729027000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 27000 and 27001 is 729027000.