Least Common Multiple of 9150 and 9157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9150 and 9157 the smallest integer that is 83786550 that is divisible by both numbers.

Least Common Multiple (LCM) of 9150 and 9157 is 83786550.

LCM(9150,9157) = 83786550

LCM of 9150 and 9157

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

LCM of:
and

Least Common Multiple of 9150 and 9157

LCM of 9150 and 9157 is 83786550

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9157. First we will calculate the prime factors of 9150 and 9157.

Prime Factorization of 9150


2 9150
3 4575
5 1525
5 305
61 61
1

Prime factors of 9150 are 2, 3, 5,61. Prime factorization of 9150 in exponential form is:

9150 = 21×31×52×611

Prime Factorization of 9157


9157 9157
1

Prime factors of 9157 are 9157. Prime factorization of 9157 in exponential form is:

9157 = 91571

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9157.

LCM(9150,9157) = 21×31×52×611×91571
LCM(9150,9157) = 83786550

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150

Factors of 9157

List of positive integer factors of 9157 that divides 9157 without a remainder.

1, 9157

Least Common Multiple of 9150 and 9157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9150 and 9157, than apply into the LCM equation.

GCF(9150,9157) = 1
LCM(9150,9157) = ( 9150 × 9157) / 1
LCM(9150,9157) = 83786550 / 1
LCM(9150,9157) = 83786550

Properties of LCM 9150 and 9157

(i) The LCM of 9157 and 9150 is associative

LCM of 9150 and 9157 = LCM of 9157 and 9150

Related Least Common Multiples of 9150

Related Least Common Multiples of 9157

Frequently Asked Questions on LCM of 9150 and 9157

1. What is the LCM of 9150 and 9157?

Answer: LCM of 9150 and 9157 is 83786550.

2. What are the Factors of 9150?

Answer: Factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150. There are 24 integers that are factors of 9150. The greatest factor of 9150 is 9150.

3. What are the Factors of 9157?

Answer: Factors of 9157 are 1, 9157. There are 2 integers that are factors of 9157. The greatest factor of 9157 is 9157.

4. How to Find the LCM of 9150 and 9157?

Answer:

Least Common Multiple of 9150 and 9157 = 83786550

Step 1: Find the prime factorization of 9150

9150 = 2 x 3 x 5 x 5 x 61

Step 2: Find the prime factorization of 9157

9157 = 9157

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

LCM = 83786550 = 2 x 3 x 5 x 5 x 61 x 9157

Step 4: Therefore, the least common multiple of 9150 and 9157 is 83786550.