Least Common Multiple (LCM) of 192 and 120
The least common multiple (LCM) of 192 and 120 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 120?
First, calculate the GCD of 192 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 120 = 1 remainder 72 |
| 2 | 120 ÷ 72 = 1 remainder 48 |
| 3 | 72 ÷ 48 = 1 remainder 24 |
| 4 | 48 ÷ 24 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 138 | 414 |
| 68 and 176 | 2992 |
| 34 and 194 | 3298 |
| 100 and 166 | 8300 |
| 181 and 145 | 26245 |