Least Common Multiple of 27045 and 27052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27045 and 27052 the smallest integer that is 731621340 that is divisible by both numbers.

Least Common Multiple (LCM) of 27045 and 27052 is 731621340.

LCM(27045,27052) = 731621340

LCM of 27045 and 27052

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

LCM of:
and

Least Common Multiple of 27045 and 27052

LCM of 27045 and 27052 is 731621340

Least common multiple can be found by multiplying the highest exponent prime factors of 27045 and 27052. First we will calculate the prime factors of 27045 and 27052.

Prime Factorization of 27045


3 27045
3 9015
5 3005
601 601
1

Prime factors of 27045 are 3, 5,601. Prime factorization of 27045 in exponential form is:

27045 = 32×51×6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27045 and 27052.

LCM(27045,27052) = 22×32×51×6011×67631
LCM(27045,27052) = 731621340

Factors of 27045

List of positive integer factors of 27045 that divides 27045 without a remainder.

1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015, 27045

Factors of 27052

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

1, 2, 4, 6763, 13526, 27052

Least Common Multiple of 27045 and 27052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27045 and 27052, than apply into the LCM equation.

GCF(27045,27052) = 1
LCM(27045,27052) = ( 27045 × 27052) / 1
LCM(27045,27052) = 731621340 / 1
LCM(27045,27052) = 731621340

Properties of LCM 27045 and 27052

(i) The LCM of 27052 and 27045 is associative

LCM of 27045 and 27052 = LCM of 27052 and 27045

Related Least Common Multiples of 27045

Related Least Common Multiples of 27052

Frequently Asked Questions on LCM of 27045 and 27052

1. What is the LCM of 27045 and 27052?

Answer: LCM of 27045 and 27052 is 731621340.

2. What are the Factors of 27045?

Answer: Factors of 27045 are 1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015, 27045. There are 12 integers that are factors of 27045. The greatest factor of 27045 is 27045.

3. 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.

4. How to Find the LCM of 27045 and 27052?

Answer:

Least Common Multiple of 27045 and 27052 = 731621340

Step 1: Find the prime factorization of 27045

27045 = 3 x 3 x 5 x 601

Step 2: Find the prime factorization of 27052

27052 = 2 x 2 x 6763

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

LCM = 731621340 = 2 x 2 x 3 x 3 x 5 x 601 x 6763

Step 4: Therefore, the least common multiple of 27045 and 27052 is 731621340.