Least Common Multiple (LCM) of 136 and 192
The least common multiple (LCM) of 136 and 192 is 3264.
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 136 and 192?
First, calculate the GCD of 136 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 192 = 0 remainder 136 |
| 2 | 192 ÷ 136 = 1 remainder 56 |
| 3 | 136 ÷ 56 = 2 remainder 24 |
| 4 | 56 ÷ 24 = 2 remainder 8 |
| 5 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 184 | 6072 |
| 58 and 135 | 7830 |
| 69 and 147 | 3381 |
| 51 and 157 | 8007 |
| 108 and 78 | 1404 |