Least Common Multiple of 9450 and 9455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9450 and 9455 the smallest integer that is 17869950 that is divisible by both numbers.

Least Common Multiple (LCM) of 9450 and 9455 is 17869950.

LCM(9450,9455) = 17869950

LCM of 9450 and 9455

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

LCM of:
and

Least Common Multiple of 9450 and 9455

LCM of 9450 and 9455 is 17869950

Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9455. First we will calculate the prime factors of 9450 and 9455.

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

Prime Factorization of 9455


5 9455
31 1891
61 61
1

Prime factors of 9455 are 5, 31,61. Prime factorization of 9455 in exponential form is:

9455 = 51×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9455.

LCM(9450,9455) = 21×33×52×71×311×611
LCM(9450,9455) = 17869950

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

Factors of 9455

List of positive integer factors of 9455 that divides 9455 without a remainder.

1, 5, 31, 61, 155, 305, 1891, 9455

Least Common Multiple of 9450 and 9455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9450 and 9455, than apply into the LCM equation.

GCF(9450,9455) = 5
LCM(9450,9455) = ( 9450 × 9455) / 5
LCM(9450,9455) = 89349750 / 5
LCM(9450,9455) = 17869950

Properties of LCM 9450 and 9455

(i) The LCM of 9455 and 9450 is associative

LCM of 9450 and 9455 = LCM of 9455 and 9450

Related Least Common Multiples of 9450

Related Least Common Multiples of 9455

Frequently Asked Questions on LCM of 9450 and 9455

1. What is the LCM of 9450 and 9455?

Answer: LCM of 9450 and 9455 is 17869950.

2. 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.

3. What are the Factors of 9455?

Answer: Factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455. There are 8 integers that are factors of 9455. The greatest factor of 9455 is 9455.

4. How to Find the LCM of 9450 and 9455?

Answer:

Least Common Multiple of 9450 and 9455 = 17869950

Step 1: Find the prime factorization of 9450

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

Step 2: Find the prime factorization of 9455

9455 = 5 x 31 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 = 17869950 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 31 x 61

Step 4: Therefore, the least common multiple of 9450 and 9455 is 17869950.