Least Common Multiple of 9142 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 9142 and 9150 the smallest integer that is 41824650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9142 and 9150 is 41824650.

LCM(9142,9150) = 41824650

LCM of 9142 and 9150

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

LCM of:
and

Least Common Multiple of 9142 and 9150

LCM of 9142 and 9150 is 41824650

Least common multiple can be found by multiplying the highest exponent prime factors of 9142 and 9150. First we will calculate the prime factors of 9142 and 9150.

Prime Factorization of 9142


2 9142
7 4571
653 653
1

Prime factors of 9142 are 2, 7,653. Prime factorization of 9142 in exponential form is:

9142 = 21×71×6531

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 9142 and 9150.

LCM(9142,9150) = 21×31×52×71×611×6531
LCM(9142,9150) = 41824650

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1, 2, 7, 14, 653, 1306, 4571, 9142

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 9142 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 9142 and 9150, than apply into the LCM equation.

GCF(9142,9150) = 2
LCM(9142,9150) = ( 9142 × 9150) / 2
LCM(9142,9150) = 83649300 / 2
LCM(9142,9150) = 41824650

Properties of LCM 9142 and 9150

(i) The LCM of 9150 and 9142 is associative

LCM of 9142 and 9150 = LCM of 9150 and 9142

Related Least Common Multiples of 9142

Related Least Common Multiples of 9150

Frequently Asked Questions on LCM of 9142 and 9150

1. What is the LCM of 9142 and 9150?

Answer: LCM of 9142 and 9150 is 41824650.

2. What are the Factors of 9142?

Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.

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 9142 and 9150?

Answer:

Least Common Multiple of 9142 and 9150 = 41824650

Step 1: Find the prime factorization of 9142

9142 = 2 x 7 x 653

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 = 41824650 = 2 x 3 x 5 x 5 x 7 x 61 x 653

Step 4: Therefore, the least common multiple of 9142 and 9150 is 41824650.