Least Common Multiple of 27052 and 27060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27052 and 27060 the smallest integer that is 183006780 that is divisible by both numbers.

Least Common Multiple (LCM) of 27052 and 27060 is 183006780.

LCM(27052,27060) = 183006780

LCM of 27052 and 27060

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

LCM of:
and

Least Common Multiple of 27052 and 27060

LCM of 27052 and 27060 is 183006780

Least common multiple can be found by multiplying the highest exponent prime factors of 27052 and 27060. First we will calculate the prime factors of 27052 and 27060.

Prime Factorization of 27052


2 27052
2 13526
6763 6763
1

Prime factors of 27052 are 2,6763. Prime factorization of 27052 in exponential form is:

27052 = 22×67631

Prime Factorization of 27060


2 27060
2 13530
3 6765
5 2255
11 451
41 41
1

Prime factors of 27060 are 2, 3, 5, 11,41. Prime factorization of 27060 in exponential form is:

27060 = 22×31×51×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 27052 and 27060.

LCM(27052,27060) = 22×31×51×111×411×67631
LCM(27052,27060) = 183006780

Factors of 27052

List of positive integer factors of 27052 that divides 27052 without a remainder.

1, 2, 4, 6763, 13526, 27052

Factors of 27060

List of positive integer factors of 27060 that divides 27060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44, 55, 60, 66, 82, 110, 123, 132, 164, 165, 205, 220, 246, 330, 410, 451, 492, 615, 660, 820, 902, 1230, 1353, 1804, 2255, 2460, 2706, 4510, 5412, 6765, 9020, 13530, 27060

Least Common Multiple of 27052 and 27060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27052 and 27060, than apply into the LCM equation.

GCF(27052,27060) = 4
LCM(27052,27060) = ( 27052 × 27060) / 4
LCM(27052,27060) = 732027120 / 4
LCM(27052,27060) = 183006780

Properties of LCM 27052 and 27060

(i) The LCM of 27060 and 27052 is associative

LCM of 27052 and 27060 = LCM of 27060 and 27052

Related Least Common Multiples of 27052

Related Least Common Multiples of 27060

Frequently Asked Questions on LCM of 27052 and 27060

1. What is the LCM of 27052 and 27060?

Answer: LCM of 27052 and 27060 is 183006780.

2. What are the Factors of 27052?

Answer: Factors of 27052 are 1, 2, 4, 6763, 13526, 27052. There are 6 integers that are factors of 27052. The greatest factor of 27052 is 27052.

3. What are the Factors of 27060?

Answer: Factors of 27060 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44, 55, 60, 66, 82, 110, 123, 132, 164, 165, 205, 220, 246, 330, 410, 451, 492, 615, 660, 820, 902, 1230, 1353, 1804, 2255, 2460, 2706, 4510, 5412, 6765, 9020, 13530, 27060. There are 48 integers that are factors of 27060. The greatest factor of 27060 is 27060.

4. How to Find the LCM of 27052 and 27060?

Answer:

Least Common Multiple of 27052 and 27060 = 183006780

Step 1: Find the prime factorization of 27052

27052 = 2 x 2 x 6763

Step 2: Find the prime factorization of 27060

27060 = 2 x 2 x 3 x 5 x 11 x 41

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

LCM = 183006780 = 2 x 2 x 3 x 5 x 11 x 41 x 6763

Step 4: Therefore, the least common multiple of 27052 and 27060 is 183006780.