Least Common Multiple of 27020 and 27024

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 27024 the smallest integer that is 182547120 that is divisible by both numbers.

Least Common Multiple (LCM) of 27020 and 27024 is 182547120.

LCM(27020,27024) = 182547120

LCM of 27020 and 27024

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

LCM of:
and

Least Common Multiple of 27020 and 27024

LCM of 27020 and 27024 is 182547120

Least common multiple can be found by multiplying the highest exponent prime factors of 27020 and 27024. First we will calculate the prime factors of 27020 and 27024.

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 27024


2 27024
2 13512
2 6756
2 3378
3 1689
563 563
1

Prime factors of 27024 are 2, 3,563. Prime factorization of 27024 in exponential form is:

27024 = 24×31×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 27020 and 27024.

LCM(27020,27024) = 24×31×51×71×1931×5631
LCM(27020,27024) = 182547120

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 27024

List of positive integer factors of 27024 that divides 27024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 27024

Least Common Multiple of 27020 and 27024 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 27024, than apply into the LCM equation.

GCF(27020,27024) = 4
LCM(27020,27024) = ( 27020 × 27024) / 4
LCM(27020,27024) = 730188480 / 4
LCM(27020,27024) = 182547120

Properties of LCM 27020 and 27024

(i) The LCM of 27024 and 27020 is associative

LCM of 27020 and 27024 = LCM of 27024 and 27020

Related Least Common Multiples of 27020

Related Least Common Multiples of 27024

Frequently Asked Questions on LCM of 27020 and 27024

1. What is the LCM of 27020 and 27024?

Answer: LCM of 27020 and 27024 is 182547120.

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 27024?

Answer: Factors of 27024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 27024. There are 20 integers that are factors of 27024. The greatest factor of 27024 is 27024.

4. How to Find the LCM of 27020 and 27024?

Answer:

Least Common Multiple of 27020 and 27024 = 182547120

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 27024

27024 = 2 x 2 x 2 x 2 x 3 x 563

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

LCM = 182547120 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 193 x 563

Step 4: Therefore, the least common multiple of 27020 and 27024 is 182547120.