Least Common Multiple of 27012 and 27020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27012 and 27020 the smallest integer that is 182466060 that is divisible by both numbers.

Least Common Multiple (LCM) of 27012 and 27020 is 182466060.

LCM(27012,27020) = 182466060

LCM of 27012 and 27020

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

LCM of:
and

Least Common Multiple of 27012 and 27020

LCM of 27012 and 27020 is 182466060

Least common multiple can be found by multiplying the highest exponent prime factors of 27012 and 27020. First we will calculate the prime factors of 27012 and 27020.

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

Prime Factorization of 27020


2 27020
2 13510
5 6755
7 1351
193 193
1

Prime factors of 27020 are 2, 5, 7,193. Prime factorization of 27020 in exponential form is:

27020 = 22×51×71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 27012 and 27020.

LCM(27012,27020) = 22×31×51×71×1931×22511
LCM(27012,27020) = 182466060

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

Factors of 27020

List of positive integer factors of 27020 that divides 27020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 193, 386, 772, 965, 1351, 1930, 2702, 3860, 5404, 6755, 13510, 27020

Least Common Multiple of 27012 and 27020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27012 and 27020, than apply into the LCM equation.

GCF(27012,27020) = 4
LCM(27012,27020) = ( 27012 × 27020) / 4
LCM(27012,27020) = 729864240 / 4
LCM(27012,27020) = 182466060

Properties of LCM 27012 and 27020

(i) The LCM of 27020 and 27012 is associative

LCM of 27012 and 27020 = LCM of 27020 and 27012

Related Least Common Multiples of 27012

Related Least Common Multiples of 27020

Frequently Asked Questions on LCM of 27012 and 27020

1. What is the LCM of 27012 and 27020?

Answer: LCM of 27012 and 27020 is 182466060.

2. 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.

3. What are the Factors of 27020?

Answer: Factors of 27020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 193, 386, 772, 965, 1351, 1930, 2702, 3860, 5404, 6755, 13510, 27020. There are 24 integers that are factors of 27020. The greatest factor of 27020 is 27020.

4. How to Find the LCM of 27012 and 27020?

Answer:

Least Common Multiple of 27012 and 27020 = 182466060

Step 1: Find the prime factorization of 27012

27012 = 2 x 2 x 3 x 2251

Step 2: Find the prime factorization of 27020

27020 = 2 x 2 x 5 x 7 x 193

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

LCM = 182466060 = 2 x 2 x 3 x 5 x 7 x 193 x 2251

Step 4: Therefore, the least common multiple of 27012 and 27020 is 182466060.