Example on LCM of 12 and 15
Example 1: Two numbers have GCD and LCM of 3 and 60, respectively. Find the other number if one of the numbers is 12.
Solution:
Let Y be the other number
GCD × LCM = 12 × Y
Y = (GCD × LCM)/12
Y = (3 × 60)/12
Y = 15
Hence, the other number is 15.
Example 2: Find the smallest number that 12 and 15 may be divided exactly.
Solution:
LCM is the smallest number that is exactly divisible by 12 and 15.
- Multiples of 12 = 12, 24, 36, 48, 60
- Multiples of 15 = 15, 30, 45, 60, 75
Common multiples in 12 and 15 is 60.
Therefore, the LCM of 12 and 15 is 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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