Least Common Multiple of 27000 and 27004

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 27004 the smallest integer that is 182277000 that is divisible by both numbers.

Least Common Multiple (LCM) of 27000 and 27004 is 182277000.

LCM(27000,27004) = 182277000

LCM of 27000 and 27004

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

LCM of:
and

Least Common Multiple of 27000 and 27004

LCM of 27000 and 27004 is 182277000

Least common multiple can be found by multiplying the highest exponent prime factors of 27000 and 27004. First we will calculate the prime factors of 27000 and 27004.

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 27004


2 27004
2 13502
43 6751
157 157
1

Prime factors of 27004 are 2, 43,157. Prime factorization of 27004 in exponential form is:

27004 = 22×431×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 27000 and 27004.

LCM(27000,27004) = 23×33×53×431×1571
LCM(27000,27004) = 182277000

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 27004

List of positive integer factors of 27004 that divides 27004 without a remainder.

1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502, 27004

Least Common Multiple of 27000 and 27004 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 27004, than apply into the LCM equation.

GCF(27000,27004) = 4
LCM(27000,27004) = ( 27000 × 27004) / 4
LCM(27000,27004) = 729108000 / 4
LCM(27000,27004) = 182277000

Properties of LCM 27000 and 27004

(i) The LCM of 27004 and 27000 is associative

LCM of 27000 and 27004 = LCM of 27004 and 27000

Related Least Common Multiples of 27000

Related Least Common Multiples of 27004

Frequently Asked Questions on LCM of 27000 and 27004

1. What is the LCM of 27000 and 27004?

Answer: LCM of 27000 and 27004 is 182277000.

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 27004?

Answer: Factors of 27004 are 1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502, 27004. There are 12 integers that are factors of 27004. The greatest factor of 27004 is 27004.

4. How to Find the LCM of 27000 and 27004?

Answer:

Least Common Multiple of 27000 and 27004 = 182277000

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 27004

27004 = 2 x 2 x 43 x 157

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

LCM = 182277000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 43 x 157

Step 4: Therefore, the least common multiple of 27000 and 27004 is 182277000.