Least Common Multiple of 9045 and 9050

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 9050 the smallest integer that is 16371450 that is divisible by both numbers.

Least Common Multiple (LCM) of 9045 and 9050 is 16371450.

LCM(9045,9050) = 16371450

LCM of 9045 and 9050

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

LCM of:
and

Least Common Multiple of 9045 and 9050

LCM of 9045 and 9050 is 16371450

Least common multiple can be found by multiplying the highest exponent prime factors of 9045 and 9050. First we will calculate the prime factors of 9045 and 9050.

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 9050


2 9050
5 4525
5 905
181 181
1

Prime factors of 9050 are 2, 5,181. Prime factorization of 9050 in exponential form is:

9050 = 21×52×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9045 and 9050.

LCM(9045,9050) = 21×33×52×671×1811
LCM(9045,9050) = 16371450

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 9050

List of positive integer factors of 9050 that divides 9050 without a remainder.

1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050

Least Common Multiple of 9045 and 9050 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 9050, than apply into the LCM equation.

GCF(9045,9050) = 5
LCM(9045,9050) = ( 9045 × 9050) / 5
LCM(9045,9050) = 81857250 / 5
LCM(9045,9050) = 16371450

Properties of LCM 9045 and 9050

(i) The LCM of 9050 and 9045 is associative

LCM of 9045 and 9050 = LCM of 9050 and 9045

Related Least Common Multiples of 9045

Related Least Common Multiples of 9050

Frequently Asked Questions on LCM of 9045 and 9050

1. What is the LCM of 9045 and 9050?

Answer: LCM of 9045 and 9050 is 16371450.

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 9050?

Answer: Factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050. There are 12 integers that are factors of 9050. The greatest factor of 9050 is 9050.

4. How to Find the LCM of 9045 and 9050?

Answer:

Least Common Multiple of 9045 and 9050 = 16371450

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 9050

9050 = 2 x 5 x 5 x 181

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

LCM = 16371450 = 2 x 3 x 3 x 3 x 5 x 5 x 67 x 181

Step 4: Therefore, the least common multiple of 9045 and 9050 is 16371450.