Free LCM Calculator identify the least usual multiple (LCM) in between 9 and 12 the smallest integer the is 36 that is divisible through both numbers.

You are watching: Lowest common multiple of 9 and 12

Least usual Multiple (LCM) that 9 and also 12 is 36.

LCM(9,12) = 36


Least common multiple can be uncovered by multiplying the greatest exponent prime determinants of 9 and also 12. An initial we will calculate the prime determinants of 9 and 12.

Prime factorization of 9

3 9
3 3
1

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

9 = 32Prime administer of 12

2 12
2 6
3 3
1

Prime factors of 12 space 2,3. Prime factorization that 12 in exponential form is:

12 = 22×31Now multiply the highest possible exponent prime components to calculate the LCM the 9 and 12.

LCM(9,12) = 22×32LCM(9,12) = 36

Factors the 9

List of hopeful integer components of 9 the divides 9 without a remainder.

1, 3, 9

Factors that 12

List of confident integer determinants of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12


Least usual Multiple that 9 and also 12 v GCF Formula


The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We have to calculate greatest common factor 9 and 12, than use into the LCM equation.

GCF(9,12) = 3LCM(9,12) = ( 9 × 12) / 3LCM(9,12) = 108 / 3LCM(9,12) = 36


Properties of LCM 9 and also 12


(i) The LCM of 12 and also 9 is associative

LCM that 9 and also 12 = LCM of 12 and also 9


Related Least common Multiples the 9
Related Least typical Multiples that 12

Frequently Asked concerns on LCM that 9 and 12


1. What is the LCM the 9 and also 12?

Answer: LCM of 9 and also 12 is 36.

2. What room the components of 9?

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

3. What room the determinants of 12?

Answer: components of 12 are 1, 2, 3, 4, 6, 12. There space 6 integers that are determinants of 12. The greatest element of 12 is 12.

See more: Weathered Sediments Are Pressed And Cemented To Form, Grade 6 Science (Gse) Quiz Answer Key

4. Exactly how to find the LCM the 9 and also 12?

Answer:

Least typical Multiple the 9 and also 12 = 36

Step 1: uncover the element factorization of 9

9 = 3 x 3

Step 2: find the element factorization that 12

12 = 2 x 2 x 3

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

LCM = 36 = 2 x 2 x 3 x 3

Step 4: Therefore, the least typical multiple of 9 and 12 is 36.


favorite Calculators
Most famous
company Follow us