Free LCM Calculator determines the least common multiple (LCM) in between 8 and also 9 the the smallest integer the is 72 the is divisible by both numbers.

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Least usual Multiple (LCM) that 8 and also 9 is 72.

LCM(8,9) = 72


Least usual multiple can be discovered by multiplying the highest possible exponent prime determinants of 8 and also 9. An initial we will certainly calculate the prime components of 8 and also 9.

Prime administer of 8

2 8
2 4
2 2
1

Prime determinants of 8 room 2. Element factorization that 8 in exponential form is:

8 = 23Prime administrate of 9

3 9
3 3
1

Prime factors of 9 are 3. Prime factorization that 9 in exponential type is:

9 = 32Now multiply the highest possible exponent prime determinants to calculation the LCM of 8 and 9.

LCM(8,9) = 23×32LCM(8,9) = 72

Factors of 8

List of hopeful integer components of 8 the divides 8 there is no a remainder.

1, 2, 4, 8

Factors of 9

List of confident integer factors of 9 the divides 9 without a remainder.

1, 3, 9


Least common Multiple of 8 and also 9 through GCF Formula


The formula the LCM is LCM(a,b) = ( a × b) / GCF(a,b).We must calculate greatest common factor 8 and 9, than apply into the LCM equation.

GCF(8,9) = 1LCM(8,9) = ( 8 × 9) / 1LCM(8,9) = 72 / 1LCM(8,9) = 72


Properties that LCM 8 and also 9


(i) The LCM that 9 and also 8 is associative

LCM the 8 and also 9 = LCM the 9 and 8


Related Least common Multiples of 8
Related Least usual Multiples the 9

Frequently Asked inquiries on LCM the 8 and 9


1. What is the LCM that 8 and 9?

Answer: LCM of 8 and also 9 is 72.

2. What space the components of 8?

Answer: factors of 8 room 1, 2, 4, 8. There space 4 integers that are components of 8. The greatest aspect of 8 is 8.

3. What are the factors of 9?

Answer: components of 9 space 1, 3, 9. There room 3 integers that are factors of 9. The greatest element of 9 is 9.

See more: The Coefficients In A Chemical Equation Represent The, What Is A Coefficient In A Chemical Equation

4. Exactly how to discover the LCM that 8 and 9?

Answer:

Least usual Multiple that 8 and also 9 = 72

Step 1: discover the element factorization the 8

8 = 2 x 2 x 2

Step 2: discover the prime factorization of 9

9 = 3 x 3

Step 3: main point each element the greater variety of times it wake up in actions i) or ii) above to uncover the lcm:

LCM = 72 = 2 x 2 x 2 x 3 x 3

Step 4: Therefore, the least usual multiple that 8 and also 9 is 72.


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