Least Common Multiple of 9450 and 9457

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 9457 the smallest integer that is 12766950 that is divisible by both numbers.

Least Common Multiple (LCM) of 9450 and 9457 is 12766950.

LCM(9450,9457) = 12766950

LCM of 9450 and 9457

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

LCM of:
and

Least Common Multiple of 9450 and 9457

LCM of 9450 and 9457 is 12766950

Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9457. First we will calculate the prime factors of 9450 and 9457.

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 9457


7 9457
7 1351
193 193
1

Prime factors of 9457 are 7,193. Prime factorization of 9457 in exponential form is:

9457 = 72×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9457.

LCM(9450,9457) = 21×33×52×72×1931
LCM(9450,9457) = 12766950

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 9457

List of positive integer factors of 9457 that divides 9457 without a remainder.

1, 7, 49, 193, 1351, 9457

Least Common Multiple of 9450 and 9457 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 9457, than apply into the LCM equation.

GCF(9450,9457) = 7
LCM(9450,9457) = ( 9450 × 9457) / 7
LCM(9450,9457) = 89368650 / 7
LCM(9450,9457) = 12766950

Properties of LCM 9450 and 9457

(i) The LCM of 9457 and 9450 is associative

LCM of 9450 and 9457 = LCM of 9457 and 9450

Related Least Common Multiples of 9450

Related Least Common Multiples of 9457

Frequently Asked Questions on LCM of 9450 and 9457

1. What is the LCM of 9450 and 9457?

Answer: LCM of 9450 and 9457 is 12766950.

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 9457?

Answer: Factors of 9457 are 1, 7, 49, 193, 1351, 9457. There are 6 integers that are factors of 9457. The greatest factor of 9457 is 9457.

4. How to Find the LCM of 9450 and 9457?

Answer:

Least Common Multiple of 9450 and 9457 = 12766950

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 9457

9457 = 7 x 7 x 193

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

LCM = 12766950 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 193

Step 4: Therefore, the least common multiple of 9450 and 9457 is 12766950.