Least Common Multiple of 9150 and 9156

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 9156 the smallest integer that is 13962900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9150 and 9156 is 13962900.

LCM(9150,9156) = 13962900

LCM of 9150 and 9156

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

LCM of:
and

Least Common Multiple of 9150 and 9156

LCM of 9150 and 9156 is 13962900

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9156. First we will calculate the prime factors of 9150 and 9156.

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 9156


2 9156
2 4578
3 2289
7 763
109 109
1

Prime factors of 9156 are 2, 3, 7,109. Prime factorization of 9156 in exponential form is:

9156 = 22×31×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9156.

LCM(9150,9156) = 22×31×52×71×611×1091
LCM(9150,9156) = 13962900

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 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156

Least Common Multiple of 9150 and 9156 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 9156, than apply into the LCM equation.

GCF(9150,9156) = 6
LCM(9150,9156) = ( 9150 × 9156) / 6
LCM(9150,9156) = 83777400 / 6
LCM(9150,9156) = 13962900

Properties of LCM 9150 and 9156

(i) The LCM of 9156 and 9150 is associative

LCM of 9150 and 9156 = LCM of 9156 and 9150

Related Least Common Multiples of 9150

Related Least Common Multiples of 9156

Frequently Asked Questions on LCM of 9150 and 9156

1. What is the LCM of 9150 and 9156?

Answer: LCM of 9150 and 9156 is 13962900.

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 9156?

Answer: Factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156. There are 24 integers that are factors of 9156. The greatest factor of 9156 is 9156.

4. How to Find the LCM of 9150 and 9156?

Answer:

Least Common Multiple of 9150 and 9156 = 13962900

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 9156

9156 = 2 x 2 x 3 x 7 x 109

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

LCM = 13962900 = 2 x 2 x 3 x 5 x 5 x 7 x 61 x 109

Step 4: Therefore, the least common multiple of 9150 and 9156 is 13962900.