Least Common Multiple of 27020 and 27026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27020 and 27026 the smallest integer that is 365121260 that is divisible by both numbers.

Least Common Multiple (LCM) of 27020 and 27026 is 365121260.

LCM(27020,27026) = 365121260

LCM of 27020 and 27026

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

LCM of:
and

Least Common Multiple of 27020 and 27026

LCM of 27020 and 27026 is 365121260

Least common multiple can be found by multiplying the highest exponent prime factors of 27020 and 27026. First we will calculate the prime factors of 27020 and 27026.

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

Prime Factorization of 27026


2 27026
13513 13513
1

Prime factors of 27026 are 2,13513. Prime factorization of 27026 in exponential form is:

27026 = 21×135131

Now multiplying the highest exponent prime factors to calculate the LCM of 27020 and 27026.

LCM(27020,27026) = 22×51×71×1931×135131
LCM(27020,27026) = 365121260

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

Factors of 27026

List of positive integer factors of 27026 that divides 27026 without a remainder.

1, 2, 13513, 27026

Least Common Multiple of 27020 and 27026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27020 and 27026, than apply into the LCM equation.

GCF(27020,27026) = 2
LCM(27020,27026) = ( 27020 × 27026) / 2
LCM(27020,27026) = 730242520 / 2
LCM(27020,27026) = 365121260

Properties of LCM 27020 and 27026

(i) The LCM of 27026 and 27020 is associative

LCM of 27020 and 27026 = LCM of 27026 and 27020

Related Least Common Multiples of 27020

Related Least Common Multiples of 27026

Frequently Asked Questions on LCM of 27020 and 27026

1. What is the LCM of 27020 and 27026?

Answer: LCM of 27020 and 27026 is 365121260.

2. 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.

3. What are the Factors of 27026?

Answer: Factors of 27026 are 1, 2, 13513, 27026. There are 4 integers that are factors of 27026. The greatest factor of 27026 is 27026.

4. How to Find the LCM of 27020 and 27026?

Answer:

Least Common Multiple of 27020 and 27026 = 365121260

Step 1: Find the prime factorization of 27020

27020 = 2 x 2 x 5 x 7 x 193

Step 2: Find the prime factorization of 27026

27026 = 2 x 13513

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

LCM = 365121260 = 2 x 2 x 5 x 7 x 193 x 13513

Step 4: Therefore, the least common multiple of 27020 and 27026 is 365121260.