Least Common Multiple of 9050 and 9055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9050 and 9055 the smallest integer that is 16389550 that is divisible by both numbers.

Least Common Multiple (LCM) of 9050 and 9055 is 16389550.

LCM(9050,9055) = 16389550

LCM of 9050 and 9055

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

LCM of:
and

Least Common Multiple of 9050 and 9055

LCM of 9050 and 9055 is 16389550

Least common multiple can be found by multiplying the highest exponent prime factors of 9050 and 9055. First we will calculate the prime factors of 9050 and 9055.

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

Prime Factorization of 9055


5 9055
1811 1811
1

Prime factors of 9055 are 5,1811. Prime factorization of 9055 in exponential form is:

9055 = 51×18111

Now multiplying the highest exponent prime factors to calculate the LCM of 9050 and 9055.

LCM(9050,9055) = 21×52×1811×18111
LCM(9050,9055) = 16389550

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

Factors of 9055

List of positive integer factors of 9055 that divides 9055 without a remainder.

1, 5, 1811, 9055

Least Common Multiple of 9050 and 9055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9050 and 9055, than apply into the LCM equation.

GCF(9050,9055) = 5
LCM(9050,9055) = ( 9050 × 9055) / 5
LCM(9050,9055) = 81947750 / 5
LCM(9050,9055) = 16389550

Properties of LCM 9050 and 9055

(i) The LCM of 9055 and 9050 is associative

LCM of 9050 and 9055 = LCM of 9055 and 9050

Related Least Common Multiples of 9050

Related Least Common Multiples of 9055

Frequently Asked Questions on LCM of 9050 and 9055

1. What is the LCM of 9050 and 9055?

Answer: LCM of 9050 and 9055 is 16389550.

2. 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.

3. What are the Factors of 9055?

Answer: Factors of 9055 are 1, 5, 1811, 9055. There are 4 integers that are factors of 9055. The greatest factor of 9055 is 9055.

4. How to Find the LCM of 9050 and 9055?

Answer:

Least Common Multiple of 9050 and 9055 = 16389550

Step 1: Find the prime factorization of 9050

9050 = 2 x 5 x 5 x 181

Step 2: Find the prime factorization of 9055

9055 = 5 x 1811

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

LCM = 16389550 = 2 x 5 x 5 x 181 x 1811

Step 4: Therefore, the least common multiple of 9050 and 9055 is 16389550.