Least Common Multiple of 9443 and 9450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9443 and 9450 the smallest integer that is 12748050 that is divisible by both numbers.

Least Common Multiple (LCM) of 9443 and 9450 is 12748050.

LCM(9443,9450) = 12748050

LCM of 9443 and 9450

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

LCM of:
and

Least Common Multiple of 9443 and 9450

LCM of 9443 and 9450 is 12748050

Least common multiple can be found by multiplying the highest exponent prime factors of 9443 and 9450. First we will calculate the prime factors of 9443 and 9450.

Prime Factorization of 9443


7 9443
19 1349
71 71
1

Prime factors of 9443 are 7, 19,71. Prime factorization of 9443 in exponential form is:

9443 = 71×191×711

Prime Factorization of 9450


2 9450
3 4725
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 9450 are 2, 3, 5,7. Prime factorization of 9450 in exponential form is:

9450 = 21×33×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 9443 and 9450.

LCM(9443,9450) = 21×33×52×71×191×711
LCM(9443,9450) = 12748050

Factors of 9443

List of positive integer factors of 9443 that divides 9443 without a remainder.

1, 7, 19, 71, 133, 497, 1349, 9443

Factors of 9450

List of positive integer factors of 9450 that divides 9450 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450

Least Common Multiple of 9443 and 9450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9443 and 9450, than apply into the LCM equation.

GCF(9443,9450) = 7
LCM(9443,9450) = ( 9443 × 9450) / 7
LCM(9443,9450) = 89236350 / 7
LCM(9443,9450) = 12748050

Properties of LCM 9443 and 9450

(i) The LCM of 9450 and 9443 is associative

LCM of 9443 and 9450 = LCM of 9450 and 9443

Related Least Common Multiples of 9443

Related Least Common Multiples of 9450

Frequently Asked Questions on LCM of 9443 and 9450

1. What is the LCM of 9443 and 9450?

Answer: LCM of 9443 and 9450 is 12748050.

2. What are the Factors of 9443?

Answer: Factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443. There are 8 integers that are factors of 9443. The greatest factor of 9443 is 9443.

3. What are the Factors of 9450?

Answer: Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450. There are 48 integers that are factors of 9450. The greatest factor of 9450 is 9450.

4. How to Find the LCM of 9443 and 9450?

Answer:

Least Common Multiple of 9443 and 9450 = 12748050

Step 1: Find the prime factorization of 9443

9443 = 7 x 19 x 71

Step 2: Find the prime factorization of 9450

9450 = 2 x 3 x 3 x 3 x 5 x 5 x 7

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

LCM = 12748050 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 19 x 71

Step 4: Therefore, the least common multiple of 9443 and 9450 is 12748050.