Least Common Multiple of 9045 and 9052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9045 and 9052 the smallest integer that is 81875340 that is divisible by both numbers.

Least Common Multiple (LCM) of 9045 and 9052 is 81875340.

LCM(9045,9052) = 81875340

LCM of 9045 and 9052

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

LCM of:
and

Least Common Multiple of 9045 and 9052

LCM of 9045 and 9052 is 81875340

Least common multiple can be found by multiplying the highest exponent prime factors of 9045 and 9052. First we will calculate the prime factors of 9045 and 9052.

Prime Factorization of 9045


3 9045
3 3015
3 1005
5 335
67 67
1

Prime factors of 9045 are 3, 5,67. Prime factorization of 9045 in exponential form is:

9045 = 33×51×671

Prime Factorization of 9052


2 9052
2 4526
31 2263
73 73
1

Prime factors of 9052 are 2, 31,73. Prime factorization of 9052 in exponential form is:

9052 = 22×311×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9045 and 9052.

LCM(9045,9052) = 22×33×51×311×671×731
LCM(9045,9052) = 81875340

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045

Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052

Least Common Multiple of 9045 and 9052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9045 and 9052, than apply into the LCM equation.

GCF(9045,9052) = 1
LCM(9045,9052) = ( 9045 × 9052) / 1
LCM(9045,9052) = 81875340 / 1
LCM(9045,9052) = 81875340

Properties of LCM 9045 and 9052

(i) The LCM of 9052 and 9045 is associative

LCM of 9045 and 9052 = LCM of 9052 and 9045

Related Least Common Multiples of 9045

Related Least Common Multiples of 9052

Frequently Asked Questions on LCM of 9045 and 9052

1. What is the LCM of 9045 and 9052?

Answer: LCM of 9045 and 9052 is 81875340.

2. What are the Factors of 9045?

Answer: Factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045. There are 16 integers that are factors of 9045. The greatest factor of 9045 is 9045.

3. What are the Factors of 9052?

Answer: Factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052. There are 12 integers that are factors of 9052. The greatest factor of 9052 is 9052.

4. How to Find the LCM of 9045 and 9052?

Answer:

Least Common Multiple of 9045 and 9052 = 81875340

Step 1: Find the prime factorization of 9045

9045 = 3 x 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

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

LCM = 81875340 = 2 x 2 x 3 x 3 x 3 x 5 x 31 x 67 x 73

Step 4: Therefore, the least common multiple of 9045 and 9052 is 81875340.