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

You are watching: What is the least common multiple of 6 and 9

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

LCM(6,9) = 18

Least typical multiple have the right to be uncovered by multiply the highest possible exponent prime determinants of 9 and also 6. First we will certainly calculate the prime factors of 9 and 6.

 3 9 3 3 1

Prime components of 9 room 3. Prime factorization that 9 in exponential type is:

9 = 32Prime administrate of 6

 2 6 3 3 1

Prime factors of 6 are 2,3. Prime factorization of 6 in exponential form is:

6 = 21×31Now multiply the highest possible exponent prime components to calculate the LCM the 9 and 6.

LCM(9,6) = 21×32LCM(9,6) = 18

Factors of 9

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

1, 3, 9

Factors of 6

List of positive integer determinants of 6 the divides 6 without a remainder.

1, 2, 3, 6

### Least typical Multiple of 9 and also 6 through GCF Formula

The formula that LCM is LCM(a,b) = ( a × b) / GCF(a,b).We have to 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 that 6 and also 9 is associative

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

Related Least typical Multiples the 9
Related Least common Multiples the 6

### Frequently Asked inquiries on LCM the 9 and also 6

1. What is the LCM that 9 and 6?

Answer: LCM that 9 and also 6 is 18.

2. What are the factors of 9?

Answer: determinants of 9 are 1, 3, 9. There room 3 integers that are determinants of 9. The greatest aspect of 9 is 9.

3. What are the determinants of 6?

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

See more: After Much Study Of The Arnolfini Double Portrait, Experts Agree That:

4. How to find the LCM that 9 and 6?

Least typical Multiple of 9 and also 6 = 18

Step 1: discover the prime factorization the 9

9 = 3 x 3

Step 2: find the prime factorization of 6

6 = 2 x 3

Step 3: main point each variable the greater variety of times it wake up in measures i) or ii) over to discover the lcm:

LCM = 18 = 2 x 3 x 3

Step 4: Therefore, the least usual multiple of 9 and 6 is 18.

favourite Calculators
Most famous