Least Common Multiple of 27005 and 27012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27005 and 27012 the smallest integer that is 729459060 that is divisible by both numbers.

Least Common Multiple (LCM) of 27005 and 27012 is 729459060.

LCM(27005,27012) = 729459060

LCM of 27005 and 27012

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

LCM of:
and

Least Common Multiple of 27005 and 27012

LCM of 27005 and 27012 is 729459060

Least common multiple can be found by multiplying the highest exponent prime factors of 27005 and 27012. First we will calculate the prime factors of 27005 and 27012.

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

Prime Factorization of 27012


2 27012
2 13506
3 6753
2251 2251
1

Prime factors of 27012 are 2, 3,2251. Prime factorization of 27012 in exponential form is:

27012 = 22×31×22511

Now multiplying the highest exponent prime factors to calculate the LCM of 27005 and 27012.

LCM(27005,27012) = 22×31×51×111×4911×22511
LCM(27005,27012) = 729459060

Factors of 27005

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

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

Factors of 27012

List of positive integer factors of 27012 that divides 27012 without a remainder.

1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506, 27012

Least Common Multiple of 27005 and 27012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27005 and 27012, than apply into the LCM equation.

GCF(27005,27012) = 1
LCM(27005,27012) = ( 27005 × 27012) / 1
LCM(27005,27012) = 729459060 / 1
LCM(27005,27012) = 729459060

Properties of LCM 27005 and 27012

(i) The LCM of 27012 and 27005 is associative

LCM of 27005 and 27012 = LCM of 27012 and 27005

Related Least Common Multiples of 27005

Related Least Common Multiples of 27012

Frequently Asked Questions on LCM of 27005 and 27012

1. What is the LCM of 27005 and 27012?

Answer: LCM of 27005 and 27012 is 729459060.

2. 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.

3. What are the Factors of 27012?

Answer: Factors of 27012 are 1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506, 27012. There are 12 integers that are factors of 27012. The greatest factor of 27012 is 27012.

4. How to Find the LCM of 27005 and 27012?

Answer:

Least Common Multiple of 27005 and 27012 = 729459060

Step 1: Find the prime factorization of 27005

27005 = 5 x 11 x 491

Step 2: Find the prime factorization of 27012

27012 = 2 x 2 x 3 x 2251

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

LCM = 729459060 = 2 x 2 x 3 x 5 x 11 x 491 x 2251

Step 4: Therefore, the least common multiple of 27005 and 27012 is 729459060.