Least Common Multiple of 9150 and 9153

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 9153 the smallest integer that is 27916650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9150 and 9153 is 27916650.

LCM(9150,9153) = 27916650

LCM of 9150 and 9153

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

LCM of:
and

Least Common Multiple of 9150 and 9153

LCM of 9150 and 9153 is 27916650

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9153. First we will calculate the prime factors of 9150 and 9153.

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 9153


3 9153
3 3051
3 1017
3 339
113 113
1

Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:

9153 = 34×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9153.

LCM(9150,9153) = 21×34×52×611×1131
LCM(9150,9153) = 27916650

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 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153

Least Common Multiple of 9150 and 9153 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 9153, than apply into the LCM equation.

GCF(9150,9153) = 3
LCM(9150,9153) = ( 9150 × 9153) / 3
LCM(9150,9153) = 83749950 / 3
LCM(9150,9153) = 27916650

Properties of LCM 9150 and 9153

(i) The LCM of 9153 and 9150 is associative

LCM of 9150 and 9153 = LCM of 9153 and 9150

Related Least Common Multiples of 9150

Related Least Common Multiples of 9153

Frequently Asked Questions on LCM of 9150 and 9153

1. What is the LCM of 9150 and 9153?

Answer: LCM of 9150 and 9153 is 27916650.

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 9153?

Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.

4. How to Find the LCM of 9150 and 9153?

Answer:

Least Common Multiple of 9150 and 9153 = 27916650

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 9153

9153 = 3 x 3 x 3 x 3 x 113

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

LCM = 27916650 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 61 x 113

Step 4: Therefore, the least common multiple of 9150 and 9153 is 27916650.