Least Common Multiple of 27030 and 27036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27030 and 27036 the smallest integer that is 121797180 that is divisible by both numbers.

Least Common Multiple (LCM) of 27030 and 27036 is 121797180.

LCM(27030,27036) = 121797180

LCM of 27030 and 27036

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

LCM of:
and

Least Common Multiple of 27030 and 27036

LCM of 27030 and 27036 is 121797180

Least common multiple can be found by multiplying the highest exponent prime factors of 27030 and 27036. First we will calculate the prime factors of 27030 and 27036.

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

Prime Factorization of 27036


2 27036
2 13518
3 6759
3 2253
751 751
1

Prime factors of 27036 are 2, 3,751. Prime factorization of 27036 in exponential form is:

27036 = 22×32×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 27030 and 27036.

LCM(27030,27036) = 22×32×51×171×531×7511
LCM(27030,27036) = 121797180

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

Factors of 27036

List of positive integer factors of 27036 that divides 27036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518, 27036

Least Common Multiple of 27030 and 27036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27030 and 27036, than apply into the LCM equation.

GCF(27030,27036) = 6
LCM(27030,27036) = ( 27030 × 27036) / 6
LCM(27030,27036) = 730783080 / 6
LCM(27030,27036) = 121797180

Properties of LCM 27030 and 27036

(i) The LCM of 27036 and 27030 is associative

LCM of 27030 and 27036 = LCM of 27036 and 27030

Related Least Common Multiples of 27030

Related Least Common Multiples of 27036

Frequently Asked Questions on LCM of 27030 and 27036

1. What is the LCM of 27030 and 27036?

Answer: LCM of 27030 and 27036 is 121797180.

2. 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.

3. What are the Factors of 27036?

Answer: Factors of 27036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518, 27036. There are 18 integers that are factors of 27036. The greatest factor of 27036 is 27036.

4. How to Find the LCM of 27030 and 27036?

Answer:

Least Common Multiple of 27030 and 27036 = 121797180

Step 1: Find the prime factorization of 27030

27030 = 2 x 3 x 5 x 17 x 53

Step 2: Find the prime factorization of 27036

27036 = 2 x 2 x 3 x 3 x 751

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

LCM = 121797180 = 2 x 2 x 3 x 3 x 5 x 17 x 53 x 751

Step 4: Therefore, the least common multiple of 27030 and 27036 is 121797180.