# what is the lowest common multiple of 10 and 15

LCM of 10 and 15LCM of 10 and 15 is the smallest of all common multiples of 10 and 15. Some of the first multiples of 10 and 15 are (10, 20, 30, 40, 50, 60, 70, …) and (15, 30, 45, 60, 75, 90,…) respectively. There are 3 commonly used methods to find the LCM of 10 and 15 – by factoring primes, by division and by enumerating the multiples. 1. LCM of 10 and 15 2. List of methods 3. Solved examples 4. Frequently asked questionsAnswer: The LCM of 10 and 15 is 30. Read: what is the lowest common multiple of 10 and 15 Explanation: Further reading: The LCM of two non-zero integers, x(10) and y(15), is the smallest positive integer m(30) that is divisible by both x(10) and y(15) without Methods of Finding The LCMs of 10 and 15 are explained below.

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

### LCM of 10 and 15 by Division Method

To calculate the LCM of 10 and 15 using the division method, we divide the numbers (10, 15) by their prime factors (preferably common). The product of these divisors for the LCM is 10 and 15.

• Step 1: Find the smallest prime that is a factor of at least one of the numbers 10 and 15. Write this prime (2) to the left of the given numbers (10 and 15), separated by a ladder arrangement.
• Step 2: If a given number (10, 15) is a multiple of 2 then divide it by 2 and write the quotient below. 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 10 and 15 is the product of all the primes to the left, i.e. LCM (10, 15) by division = 2 × 3 × 5 = 30.

### LCM of 10 and 15 in List Multiples

Read more: What zodiac sign is January 7th To calculate the LCM of 10 and 15 by listing the common multiples we can follow these steps:

• Step 1: List some multiples of 10 (10, 20, 30, 40, 50, 60, 70,…) and 15 (15, 30, 45, 60, 75, 90,…)
• Step 2: The common multiples from the multiples of 10 and 15 are 30, 60,. . .
• Step 3: The least common multiple of 10 and 15 is 30.

∴ Least common multiple of 10 and 15 = 30.

### LCM of 10 and 15 in prime factors

The prime factors of 10 and 15 are (2 × 5) = 21 × 51 and (3 × 5) = 31 × 51, respectively. The LCM of 10 and 15 can be obtained by multiplying the raised prime factors. to their respective highest powers, i.e. 21 × 31 × 51 = 30. Thus, the LCM of 10 and 15 by multiplying the prime factor is 30.☛ Also check:Read more: What is Gold Clad? Facts you should know! | Top Q&A

• LCM of 72 and 108 – 216
• LCM of 70 and 90 – 630
• LCM of 7 and 9 – 63
• LCM of 7 and 8 – 56
• LCM of 7 and 7 – 7
• LCM of 7 and 56 – 56
• LCM of 7 and 49 – 49

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