Least Common Multiple of 9150 and 9154

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 9154 the smallest integer that is 41879550 that is divisible by both numbers.

Least Common Multiple (LCM) of 9150 and 9154 is 41879550.

LCM(9150,9154) = 41879550

LCM of 9150 and 9154

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

LCM of:
and

Least Common Multiple of 9150 and 9154

LCM of 9150 and 9154 is 41879550

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9154. First we will calculate the prime factors of 9150 and 9154.

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 9154


2 9154
23 4577
199 199
1

Prime factors of 9154 are 2, 23,199. Prime factorization of 9154 in exponential form is:

9154 = 21×231×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9154.

LCM(9150,9154) = 21×31×52×231×611×1991
LCM(9150,9154) = 41879550

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 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1, 2, 23, 46, 199, 398, 4577, 9154

Least Common Multiple of 9150 and 9154 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 9154, than apply into the LCM equation.

GCF(9150,9154) = 2
LCM(9150,9154) = ( 9150 × 9154) / 2
LCM(9150,9154) = 83759100 / 2
LCM(9150,9154) = 41879550

Properties of LCM 9150 and 9154

(i) The LCM of 9154 and 9150 is associative

LCM of 9150 and 9154 = LCM of 9154 and 9150

Related Least Common Multiples of 9150

Related Least Common Multiples of 9154

Frequently Asked Questions on LCM of 9150 and 9154

1. What is the LCM of 9150 and 9154?

Answer: LCM of 9150 and 9154 is 41879550.

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 9154?

Answer: Factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154. There are 8 integers that are factors of 9154. The greatest factor of 9154 is 9154.

4. How to Find the LCM of 9150 and 9154?

Answer:

Least Common Multiple of 9150 and 9154 = 41879550

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 9154

9154 = 2 x 23 x 199

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

LCM = 41879550 = 2 x 3 x 5 x 5 x 23 x 61 x 199

Step 4: Therefore, the least common multiple of 9150 and 9154 is 41879550.