what is the lcm of 12 and 16

LCM of 12 and 16LCM of 12 and 16 is the smallest of all common multiples of 12 and 16. The first multiples of 12 and 16 are (12, 24, 36, 48, 60, 72,… ) and ( respectively 16, 32, 48, 64, 80, 96, 112,…). There are 3 commonly used methods to find the LCM of 12 and 16 – by factoring primes, by enumerating multiples, and by division. 1. LCM of 12 and 16 2. List of methods 3. Solved examples 4. FAQAnswer: LCM of 12 and 16 is 48. Read: what is lcm of 12 and 16 Explanation: Read more: January 23 is what zodiac sign the LCM of two integers other than 0, x (12) and y (16), is the smallest positive integer m (48) that is divisible by both x (12) and y (16) no remainder See the different methods to find the LCM of 12 and 16.

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

LCM of 12 and 16 in List Multiples

LCM of 12 and 16 using Multiples MethodTo calculate the LCM of 12 and 16 by enumerating common multiples, we can follow these steps:

  • Step 1: List some multiples of 12 (12, 24, 36, 48, 60, 72,…) and 16 (16, 32, 48, 64, 80, 96, 112,…)
  • Step 2: The common multiples from the multiples of 12 and 16 are 48, 96 ,. . .
  • Step 3: The least common multiple of 12 and 16 is 48.

∴ Least common multiple of 12 and 16 = 48.

LCM of 12 and 16 by Division Method

Read more: 32 cm in inches | Top Q&A To calculate the LCMs of 12 and 16 using division, we’ll divide the numbers (12, 16) by their prime factors (preferably regular). The product of these divisors for the LCM is 12 and 16.

  • Step 1: Find the smallest prime number that is a factor of at least one of the numbers 12 and 16. Write this prime (2) to the left of the given numbers (12 and 16), separated by a ladder arrangement.
  • Step 2: If a given number (12, 16) 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 12 and 16 is the product of all the primes to the left, i.e. LCM (12, 16) by division = 2 × 2 × 2 × 2 × 3 = 48.

LCM of 12 and 16 in prime factors

The prime factors of 12 and 16 are (2 × 2 × 3) = 22 × 31 and (2 × 2 × 2 × 2) = 24, respectively. The LCMs of 12 and 16 can be obtained by multiplying the factors. primes are raised to their respective highest powers, i.e. 24 × 31 = 48. Therefore, the LCM of 12 and 16 in prime factors is 48.☛ Also check:Read more: what does rn mean in the text

  • LCM of 16 and 32 – 32
  • LCM 16 and 30 – 240
  • LCM of 16 and 28 – 112
  • LCM of 16 and 24 – 48
  • LCM of 16 and 22 – 176
  • LCM 16 and 20 – 80
  • LCM of 16 and 18 – 144

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