Least Common Multiple of 9144 and 9150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9144 and 9150 the smallest integer that is 13944600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9144 and 9150 is 13944600.

LCM(9144,9150) = 13944600

LCM of 9144 and 9150

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

LCM of:
and

Least Common Multiple of 9144 and 9150

LCM of 9144 and 9150 is 13944600

Least common multiple can be found by multiplying the highest exponent prime factors of 9144 and 9150. First we will calculate the prime factors of 9144 and 9150.

Prime Factorization of 9144


2 9144
2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 9144 are 2, 3,127. Prime factorization of 9144 in exponential form is:

9144 = 23×32×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9144 and 9150.

LCM(9144,9150) = 23×32×52×611×1271
LCM(9144,9150) = 13944600

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144

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

Least Common Multiple of 9144 and 9150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9144 and 9150, than apply into the LCM equation.

GCF(9144,9150) = 6
LCM(9144,9150) = ( 9144 × 9150) / 6
LCM(9144,9150) = 83667600 / 6
LCM(9144,9150) = 13944600

Properties of LCM 9144 and 9150

(i) The LCM of 9150 and 9144 is associative

LCM of 9144 and 9150 = LCM of 9150 and 9144

Related Least Common Multiples of 9144

Related Least Common Multiples of 9150

Frequently Asked Questions on LCM of 9144 and 9150

1. What is the LCM of 9144 and 9150?

Answer: LCM of 9144 and 9150 is 13944600.

2. What are the Factors of 9144?

Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.

3. 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.

4. How to Find the LCM of 9144 and 9150?

Answer:

Least Common Multiple of 9144 and 9150 = 13944600

Step 1: Find the prime factorization of 9144

9144 = 2 x 2 x 2 x 3 x 3 x 127

Step 2: Find the prime factorization of 9150

9150 = 2 x 3 x 5 x 5 x 61

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

LCM = 13944600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 61 x 127

Step 4: Therefore, the least common multiple of 9144 and 9150 is 13944600.