Least Common Multiple of 27001 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 27001 and 27004 the smallest integer that is 729135004 that is divisible by both numbers.

Least Common Multiple (LCM) of 27001 and 27004 is 729135004.

LCM(27001,27004) = 729135004

LCM of 27001 and 27004

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

LCM of:
and

Least Common Multiple of 27001 and 27004

LCM of 27001 and 27004 is 729135004

Least common multiple can be found by multiplying the highest exponent prime factors of 27001 and 27004. First we will calculate the prime factors of 27001 and 27004.

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

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 27001 and 27004.

LCM(27001,27004) = 22×131×311×431×671×1571
LCM(27001,27004) = 729135004

Factors of 27001

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

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

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 27001 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 27001 and 27004, than apply into the LCM equation.

GCF(27001,27004) = 1
LCM(27001,27004) = ( 27001 × 27004) / 1
LCM(27001,27004) = 729135004 / 1
LCM(27001,27004) = 729135004

Properties of LCM 27001 and 27004

(i) The LCM of 27004 and 27001 is associative

LCM of 27001 and 27004 = LCM of 27004 and 27001

Related Least Common Multiples of 27001

Related Least Common Multiples of 27004

Frequently Asked Questions on LCM of 27001 and 27004

1. What is the LCM of 27001 and 27004?

Answer: LCM of 27001 and 27004 is 729135004.

2. 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.

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 27001 and 27004?

Answer:

Least Common Multiple of 27001 and 27004 = 729135004

Step 1: Find the prime factorization of 27001

27001 = 13 x 31 x 67

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 = 729135004 = 2 x 2 x 13 x 31 x 43 x 67 x 157

Step 4: Therefore, the least common multiple of 27001 and 27004 is 729135004.