Least Common Multiple of 27004 and 27011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27004 and 27011 the smallest integer that is 729405044 that is divisible by both numbers.

Least Common Multiple (LCM) of 27004 and 27011 is 729405044.

LCM(27004,27011) = 729405044

LCM of 27004 and 27011

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

LCM of:
and

Least Common Multiple of 27004 and 27011

LCM of 27004 and 27011 is 729405044

Least common multiple can be found by multiplying the highest exponent prime factors of 27004 and 27011. First we will calculate the prime factors of 27004 and 27011.

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

Prime Factorization of 27011


27011 27011
1

Prime factors of 27011 are 27011. Prime factorization of 27011 in exponential form is:

27011 = 270111

Now multiplying the highest exponent prime factors to calculate the LCM of 27004 and 27011.

LCM(27004,27011) = 22×431×1571×270111
LCM(27004,27011) = 729405044

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

Factors of 27011

List of positive integer factors of 27011 that divides 27011 without a remainder.

1, 27011

Least Common Multiple of 27004 and 27011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27004 and 27011, than apply into the LCM equation.

GCF(27004,27011) = 1
LCM(27004,27011) = ( 27004 × 27011) / 1
LCM(27004,27011) = 729405044 / 1
LCM(27004,27011) = 729405044

Properties of LCM 27004 and 27011

(i) The LCM of 27011 and 27004 is associative

LCM of 27004 and 27011 = LCM of 27011 and 27004

Related Least Common Multiples of 27004

Related Least Common Multiples of 27011

Frequently Asked Questions on LCM of 27004 and 27011

1. What is the LCM of 27004 and 27011?

Answer: LCM of 27004 and 27011 is 729405044.

2. 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.

3. What are the Factors of 27011?

Answer: Factors of 27011 are 1, 27011. There are 2 integers that are factors of 27011. The greatest factor of 27011 is 27011.

4. How to Find the LCM of 27004 and 27011?

Answer:

Least Common Multiple of 27004 and 27011 = 729405044

Step 1: Find the prime factorization of 27004

27004 = 2 x 2 x 43 x 157

Step 2: Find the prime factorization of 27011

27011 = 27011

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

LCM = 729405044 = 2 x 2 x 43 x 157 x 27011

Step 4: Therefore, the least common multiple of 27004 and 27011 is 729405044.