Least Common Multiple of 27000 and 27005

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 27005 the smallest integer that is 145827000 that is divisible by both numbers.

Least Common Multiple (LCM) of 27000 and 27005 is 145827000.

LCM(27000,27005) = 145827000

LCM of 27000 and 27005

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

LCM of:
and

Least Common Multiple of 27000 and 27005

LCM of 27000 and 27005 is 145827000

Least common multiple can be found by multiplying the highest exponent prime factors of 27000 and 27005. First we will calculate the prime factors of 27000 and 27005.

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 27005


5 27005
11 5401
491 491
1

Prime factors of 27005 are 5, 11,491. Prime factorization of 27005 in exponential form is:

27005 = 51×111×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 27000 and 27005.

LCM(27000,27005) = 23×33×53×111×4911
LCM(27000,27005) = 145827000

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 27005

List of positive integer factors of 27005 that divides 27005 without a remainder.

1, 5, 11, 55, 491, 2455, 5401, 27005

Least Common Multiple of 27000 and 27005 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 27005, than apply into the LCM equation.

GCF(27000,27005) = 5
LCM(27000,27005) = ( 27000 × 27005) / 5
LCM(27000,27005) = 729135000 / 5
LCM(27000,27005) = 145827000

Properties of LCM 27000 and 27005

(i) The LCM of 27005 and 27000 is associative

LCM of 27000 and 27005 = LCM of 27005 and 27000

Related Least Common Multiples of 27000

Related Least Common Multiples of 27005

Frequently Asked Questions on LCM of 27000 and 27005

1. What is the LCM of 27000 and 27005?

Answer: LCM of 27000 and 27005 is 145827000.

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 27005?

Answer: Factors of 27005 are 1, 5, 11, 55, 491, 2455, 5401, 27005. There are 8 integers that are factors of 27005. The greatest factor of 27005 is 27005.

4. How to Find the LCM of 27000 and 27005?

Answer:

Least Common Multiple of 27000 and 27005 = 145827000

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 27005

27005 = 5 x 11 x 491

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

LCM = 145827000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 491

Step 4: Therefore, the least common multiple of 27000 and 27005 is 145827000.