Free LCM Calculator determines the least typical multiple (LCM) between 6 and also 9 the the smallest integer that is 18 the is divisible through both numbers.

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Least usual Multiple (LCM) the 6 and also 9 is 18.

LCM(6,9) = 18


Least common multiple can be uncovered by multiply the highest possible exponent prime factors of 9 and also 6. First we will certainly calculate the prime factors of 9 and also 6.

Prime administrate of 9

3 9
3 3
1

Prime determinants of 9 are 3. Prime factorization that 9 in exponential kind is:

9 = 32Prime administrate of 6

2 6
3 3
1

Prime components of 6 space 2,3. Element factorization that 6 in exponential kind is:

6 = 21×31Now multiplying the highest exponent prime determinants to calculate the LCM of 9 and also 6.

LCM(9,6) = 21×32LCM(9,6) = 18

Factors the 9

List of confident integer components of 9 that divides 9 there is no a remainder.

1, 3, 9

Factors that 6

List of optimistic integer determinants of 6 that divides 6 without a remainder.

1, 2, 3, 6


Least usual Multiple the 9 and 6 v GCF Formula


The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We should calculate greatest usual factor 9 and 6, than use into the LCM equation.

GCF(9,6) = 3LCM(9,6) = ( 9 × 6) / 3LCM(9,6) = 54 / 3LCM(9,6) = 18


Properties of LCM 9 and also 6


(i) The LCM of 6 and also 9 is associative

LCM that 9 and 6 = LCM that 6 and also 9


Related Least typical Multiples of 9
Related Least typical Multiples the 6

Frequently Asked concerns on LCM of 9 and also 6


1. What is the LCM of 9 and also 6?

Answer: LCM of 9 and 6 is 18.

2. What are the determinants of 9?

Answer: components of 9 room 1, 3, 9. There are 3 integers the are factors of 9. The greatest factor of 9 is 9.

3. What room the determinants of 6?

Answer: components of 6 space 1, 2, 3, 6. There space 4 integers that are determinants of 6. The greatest factor of 6 is 6.

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4. Just how to discover the LCM that 9 and 6?

Answer:

Least usual Multiple the 9 and also 6 = 18

Step 1: find the element factorization of 9

9 = 3 x 3

Step 2: discover the prime factorization of 6

6 = 2 x 3

Step 3: main point each element the greater number of times it occurs in measures i) or ii) above to discover the lcm:

LCM = 18 = 2 x 3 x 3

Step 4: Therefore, the least typical multiple the 9 and also 6 is 18.


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