what is the least common multiple of 14 and 21

LCM of 14 and 21LCM of 14 and 21 is the smallest of all common multiples of 14 and 21. Some of the first multiples of 14 and 21 are (14, 28, 42, 56,…) and ( 21, 42, 63, 84,…) respectively. There are 3 commonly used methods to find the LCM of 14 and 21 – by enumerating the multiples, by prime factors and by division. 1. LCM of 14 and 21 2. List of methods 3. Solved examples 4. Frequently asked questionsAnswer: The LCM of 14 and 21 is 42. Read: what is the most common multiple of 14 and 21 Explanation: Read more: What is the appropriate chilling temperature for fresh beef, the LCM of two non-zero integers, x(14) and y(21), which is the smallest positive integer m(42) divisible by both x ( 14) and y (21) have no remainder See the different methods to find the LCM of 14 and 21.

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

LCM of 14 and 21 in prime factors

The prime factors of 14 and 21 are (2 × 7) = 21 × 71 and (3 × 7) = 31 × 71, respectively. The LCMs of 14 and 21 can be obtained by multiplying the raised prime factors. to their respective highest powers, i.e. 21 × 31 × 71 = 42. Thus, the LCM of 14 and 21 by multiplying the prime factors is 42.

LCM of 14 and 21 in List Multiples

To calculate LCM of 14 and 21 by enumerating common multiples we can follow below steps:

• Step 1: List some multiples of 14 (14, 28, 42, 56,…) and 21 (21, 42, 63, 84,…)
• Step 2: The common multiples from the multiples of 14 and 21 are 42, 84 ,. . .
• Step 3: The least common multiple of 14 and 21 is 42.

Read more: what is the best performance chip for chevy silverado | Top Q&A∴ Least common multiple of 14 and 21 = 42.

LCM of 14 and 21 by Division Method

To calculate the LCM of 14 and 21 using the division method, we’ll divide the numbers (14, 21) by their prime factors (preferably regular). The product of these divisors for the LCM is 14 and 21.

• Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 14 and 21. Write this prime number (2) to the left of the given numbers (14 and 21), separated by a ladder arrangement. .
• Step 2: If a given number (14, 21) 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.

The LCM of 14 and 21 is the product of all the primes to the left, i.e. LCM (14, 21) by division = 2 × 3 × 7 = 42.☛ Also check:Read more: which episode is ichigo vs aizen

• LCM 80 and 120 – 240
• LCM of 8 and 9 – 72
• LCM of 8 and 64 – 64
• LCM of 8 and 56 – 56
• LCM of 8 and 42 – 168
• LCM of 8 and 36 – 72
• LCM of 8 and 32 – 32

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