Least Common Multiple of 27024 and 27030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27024 and 27030 the smallest integer that is 121743120 that is divisible by both numbers.

Least Common Multiple (LCM) of 27024 and 27030 is 121743120.

LCM(27024,27030) = 121743120

LCM of 27024 and 27030

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

LCM of:
and

Least Common Multiple of 27024 and 27030

LCM of 27024 and 27030 is 121743120

Least common multiple can be found by multiplying the highest exponent prime factors of 27024 and 27030. First we will calculate the prime factors of 27024 and 27030.

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

Prime Factorization of 27030


2 27030
3 13515
5 4505
17 901
53 53
1

Prime factors of 27030 are 2, 3, 5, 17,53. Prime factorization of 27030 in exponential form is:

27030 = 21×31×51×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 27024 and 27030.

LCM(27024,27030) = 24×31×51×171×531×5631
LCM(27024,27030) = 121743120

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

Factors of 27030

List of positive integer factors of 27030 that divides 27030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 53, 85, 102, 106, 159, 170, 255, 265, 318, 510, 530, 795, 901, 1590, 1802, 2703, 4505, 5406, 9010, 13515, 27030

Least Common Multiple of 27024 and 27030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27024 and 27030, than apply into the LCM equation.

GCF(27024,27030) = 6
LCM(27024,27030) = ( 27024 × 27030) / 6
LCM(27024,27030) = 730458720 / 6
LCM(27024,27030) = 121743120

Properties of LCM 27024 and 27030

(i) The LCM of 27030 and 27024 is associative

LCM of 27024 and 27030 = LCM of 27030 and 27024

Related Least Common Multiples of 27024

Related Least Common Multiples of 27030

Frequently Asked Questions on LCM of 27024 and 27030

1. What is the LCM of 27024 and 27030?

Answer: LCM of 27024 and 27030 is 121743120.

2. 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.

3. What are the Factors of 27030?

Answer: Factors of 27030 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 53, 85, 102, 106, 159, 170, 255, 265, 318, 510, 530, 795, 901, 1590, 1802, 2703, 4505, 5406, 9010, 13515, 27030. There are 32 integers that are factors of 27030. The greatest factor of 27030 is 27030.

4. How to Find the LCM of 27024 and 27030?

Answer:

Least Common Multiple of 27024 and 27030 = 121743120

Step 1: Find the prime factorization of 27024

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

Step 2: Find the prime factorization of 27030

27030 = 2 x 3 x 5 x 17 x 53

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

LCM = 121743120 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 53 x 563

Step 4: Therefore, the least common multiple of 27024 and 27030 is 121743120.