Least Common Multiple (LCM) of 192 and 15
The least common multiple (LCM) of 192 and 15 is 960.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 192 and 15?
First, calculate the GCD of 192 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 15 = 12 remainder 12 |
| 2 | 15 ÷ 12 = 1 remainder 3 |
| 3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 80 | 3440 |
| 16 and 199 | 3184 |
| 102 and 117 | 3978 |
| 34 and 44 | 748 |
| 140 and 112 | 560 |