Least Common Multiple of 9045 and 9048

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 9048 the smallest integer that is 27279720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9045 and 9048 is 27279720.

LCM(9045,9048) = 27279720

LCM of 9045 and 9048

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

LCM of:
and

Least Common Multiple of 9045 and 9048

LCM of 9045 and 9048 is 27279720

Least common multiple can be found by multiplying the highest exponent prime factors of 9045 and 9048. First we will calculate the prime factors of 9045 and 9048.

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 9048


2 9048
2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 9048 are 2, 3, 13,29. Prime factorization of 9048 in exponential form is:

9048 = 23×31×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9045 and 9048.

LCM(9045,9048) = 23×33×51×131×291×671
LCM(9045,9048) = 27279720

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 9048

List of positive integer factors of 9048 that divides 9048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048

Least Common Multiple of 9045 and 9048 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 9048, than apply into the LCM equation.

GCF(9045,9048) = 3
LCM(9045,9048) = ( 9045 × 9048) / 3
LCM(9045,9048) = 81839160 / 3
LCM(9045,9048) = 27279720

Properties of LCM 9045 and 9048

(i) The LCM of 9048 and 9045 is associative

LCM of 9045 and 9048 = LCM of 9048 and 9045

Related Least Common Multiples of 9045

Related Least Common Multiples of 9048

Frequently Asked Questions on LCM of 9045 and 9048

1. What is the LCM of 9045 and 9048?

Answer: LCM of 9045 and 9048 is 27279720.

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 9048?

Answer: Factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048. There are 32 integers that are factors of 9048. The greatest factor of 9048 is 9048.

4. How to Find the LCM of 9045 and 9048?

Answer:

Least Common Multiple of 9045 and 9048 = 27279720

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 9048

9048 = 2 x 2 x 2 x 3 x 13 x 29

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

LCM = 27279720 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 29 x 67

Step 4: Therefore, the least common multiple of 9045 and 9048 is 27279720.