Least Common Multiple of 9442 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 9442 and 9450 the smallest integer that is 44613450 that is divisible by both numbers.

Least Common Multiple (LCM) of 9442 and 9450 is 44613450.

LCM(9442,9450) = 44613450

LCM of 9442 and 9450

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

LCM of:
and

Least Common Multiple of 9442 and 9450

LCM of 9442 and 9450 is 44613450

Least common multiple can be found by multiplying the highest exponent prime factors of 9442 and 9450. First we will calculate the prime factors of 9442 and 9450.

Prime Factorization of 9442


2 9442
4721 4721
1

Prime factors of 9442 are 2,4721. Prime factorization of 9442 in exponential form is:

9442 = 21×47211

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 9442 and 9450.

LCM(9442,9450) = 21×33×52×71×47211
LCM(9442,9450) = 44613450

Factors of 9442

List of positive integer factors of 9442 that divides 9442 without a remainder.

1, 2, 4721, 9442

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 9442 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 9442 and 9450, than apply into the LCM equation.

GCF(9442,9450) = 2
LCM(9442,9450) = ( 9442 × 9450) / 2
LCM(9442,9450) = 89226900 / 2
LCM(9442,9450) = 44613450

Properties of LCM 9442 and 9450

(i) The LCM of 9450 and 9442 is associative

LCM of 9442 and 9450 = LCM of 9450 and 9442

Related Least Common Multiples of 9442

Related Least Common Multiples of 9450

Frequently Asked Questions on LCM of 9442 and 9450

1. What is the LCM of 9442 and 9450?

Answer: LCM of 9442 and 9450 is 44613450.

2. What are the Factors of 9442?

Answer: Factors of 9442 are 1, 2, 4721, 9442. There are 4 integers that are factors of 9442. The greatest factor of 9442 is 9442.

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 9442 and 9450?

Answer:

Least Common Multiple of 9442 and 9450 = 44613450

Step 1: Find the prime factorization of 9442

9442 = 2 x 4721

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 = 44613450 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 4721

Step 4: Therefore, the least common multiple of 9442 and 9450 is 44613450.