what is the least common denominator of 9 and 12

LCM of 9 and 12LCM of 9 and 12 is the smallest of all common multiples of 9 and 12. The first multiples of 9 and 12 are (9, 18, 27, 36, 45,…) and ( 12, 24, 36, 48, 60,…) respectively. There are three commonly used methods to find the LCM of 9 and 12 – by division, by enumeration of multiples, and by prime factors. 1. LCM of 9 and 12 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 9 and 12 is 36. Read: What is the least common denominator of 9 and 12 Explanation: Read more: What to wear when taking a LCM engagement photo of two non-zero integers 0, x(9) and y(12), which is the smallest positive integer m(36) that is divisible by both x(9) and y(12) ) The methods of finding the LCM of 9 and 12 are explained below.

  • By multiples of the list
  • According to the division method
  • According to the prime factorization method

LCM of 9 and 12 in List Multiples

LCM of 9 and 12 by List Multiple MethodTo calculate LCM of 9 and 12 by enumerating common multiples we can follow below steps:

  • Step 1: List some multiples of 9 (9, 18, 27, 36, 45,…) and 12 (12, 24, 36, 48, 60,…)
  • Step 2: The common multiples from multiples of 9 and 12 are 36, 72 ,. . .
  • Step 3: The least common multiple of 9 and 12 is 36.

∴ Least common multiple of 9 and 12 = 36.

LCM of 9 and 12 by Division Method

LCM of 9 and 12 by Division MethodRead more: What to wear to orthopedic To calculate the LCM of 9 and 12 using the division method, we’ll divide the numbers (9, 12) by their prime factors (preferably regular). The product of these divisors for the LCM is 9 and 12.

  • Step 1: Find the smallest prime number that is a factor of at least one of the numbers 9 and 12. Write this prime (2) to the left of the given numbers (9 and 12), separated by a ladder arrangement.
  • Step 2: If a given number (9, 12) is a multiple of 2 then divide it by 2 and write the quotient below it. Bring down any number that is not divisible by primes.
  • Step 3: Continue the steps until there are only 1s left in the last row.
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The LCM of 9 and 12 is the product of all the primes to the left, i.e. LCM (9, 12) by division = 2 × 2 × 3 × 3 = 36.

LCM of 9 and 12 in prime factors

The prime factors of 9 and 12 are (3 × 3) = 32 and (2 × 2 × 3) = 22 × 31, respectively. The LCM of 9 and 12 can be obtained by multiplying the raised prime factors. to their highest powers, i.e. 22 × 32 = 36. Therefore, the LCM of 9 and 12 in prime factors is 36.☛ Also check:Read more: Easy Truffle Aioli Recipe | Top Q&A

  • LCM of 11 and 44 – 44
  • LCM of 100 and 190 – 1900
  • LCM of 64 and 80 – 320
  • LCM of 5, 9 and 15 – 45
  • LCM of 37 and 49 – 1813
  • LCM of 6, 9 and 15 – 90
  • LCM of 21 and 56 – 168

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