Least Common Multiple (LCM) of 128 and 187
The least common multiple (LCM) of 128 and 187 is 23936.
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 128 and 187?
First, calculate the GCD of 128 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 187 = 0 remainder 128 |
| 2 | 187 ÷ 128 = 1 remainder 59 |
| 3 | 128 ÷ 59 = 2 remainder 10 |
| 4 | 59 ÷ 10 = 5 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 176 | 4048 |
| 196 and 180 | 8820 |
| 107 and 132 | 14124 |
| 20 and 117 | 2340 |
| 112 and 195 | 21840 |