LCM of 12 and 15 by Listing Multiples
Least Common Multiple of 12 and 15, is found by listing multiple of 12 and 15 and then finding the smallest common multiple by comparing.
- Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
- Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
Here, 60 is the first common multiple of both 12 and 15.
Therefore, LCM of 12 and 15 by listing multiples is 60.
- LCM of 12 and 15 by Long Division Method
By using the division method, follow the steps added below,
Step 1: Find the smallest prime number (2) that is a factor of at least one of the numbers. Whereas, 12 and 15 should be divided according to the ladder arrangement.
Step 2: If any of the given numbers (12, 15) are multiples of 2, divide them by 2 and record the quotient below. Reducing any number that is not divisible by the prime number is necessary.
Step 3: Continue this process, until 1 is left in the last row.
Thus, the LCM of 12 and 15 by long division method is 2 × 2 × 3 × 5 = 60.
lcm of 12 and 15
LCM of 12 and 15 is 60. LCM stands for Least Common Multiple and is the least common multiple of both 12 and 15. LCM of 12 and 15 is calculated by division method, prime factorization, and by listing multiples methods.
In this article, we will discuss the concept of LCM and specifically explore its calculation for the numbers 6 and 8.
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