Least Common Multiple of 9450 and 9458

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 9458 the smallest integer that is 44689050 that is divisible by both numbers.

Least Common Multiple (LCM) of 9450 and 9458 is 44689050.

LCM(9450,9458) = 44689050

LCM of 9450 and 9458

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

LCM of:
and

Least Common Multiple of 9450 and 9458

LCM of 9450 and 9458 is 44689050

Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9458. First we will calculate the prime factors of 9450 and 9458.

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 9458


2 9458
4729 4729
1

Prime factors of 9458 are 2,4729. Prime factorization of 9458 in exponential form is:

9458 = 21×47291

Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9458.

LCM(9450,9458) = 21×33×52×71×47291
LCM(9450,9458) = 44689050

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 9458

List of positive integer factors of 9458 that divides 9458 without a remainder.

1, 2, 4729, 9458

Least Common Multiple of 9450 and 9458 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 9458, than apply into the LCM equation.

GCF(9450,9458) = 2
LCM(9450,9458) = ( 9450 × 9458) / 2
LCM(9450,9458) = 89378100 / 2
LCM(9450,9458) = 44689050

Properties of LCM 9450 and 9458

(i) The LCM of 9458 and 9450 is associative

LCM of 9450 and 9458 = LCM of 9458 and 9450

Related Least Common Multiples of 9450

Related Least Common Multiples of 9458

Frequently Asked Questions on LCM of 9450 and 9458

1. What is the LCM of 9450 and 9458?

Answer: LCM of 9450 and 9458 is 44689050.

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 9458?

Answer: Factors of 9458 are 1, 2, 4729, 9458. There are 4 integers that are factors of 9458. The greatest factor of 9458 is 9458.

4. How to Find the LCM of 9450 and 9458?

Answer:

Least Common Multiple of 9450 and 9458 = 44689050

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 9458

9458 = 2 x 4729

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

LCM = 44689050 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 4729

Step 4: Therefore, the least common multiple of 9450 and 9458 is 44689050.