Least Common Multiple (LCM) of 152 and 192
The least common multiple (LCM) of 152 and 192 is 3648.
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 152 and 192?
First, calculate the GCD of 152 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 192 = 0 remainder 152 |
| 2 | 192 ÷ 152 = 1 remainder 40 |
| 3 | 152 ÷ 40 = 3 remainder 32 |
| 4 | 40 ÷ 32 = 1 remainder 8 |
| 5 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 153 | 20349 |
| 199 and 200 | 39800 |
| 34 and 127 | 4318 |
| 189 and 162 | 1134 |
| 199 and 107 | 21293 |