Least Common Multiple (LCM) of 136 and 188
The least common multiple (LCM) of 136 and 188 is 6392.
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 188?
First, calculate the GCD of 136 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 188 = 0 remainder 136 |
| 2 | 188 ÷ 136 = 1 remainder 52 |
| 3 | 136 ÷ 52 = 2 remainder 32 |
| 4 | 52 ÷ 32 = 1 remainder 20 |
| 5 | 32 ÷ 20 = 1 remainder 12 |
| 6 | 20 ÷ 12 = 1 remainder 8 |
| 7 | 12 ÷ 8 = 1 remainder 4 |
| 8 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 135 | 6210 |
| 173 and 198 | 34254 |
| 182 and 58 | 5278 |
| 11 and 107 | 1177 |
| 86 and 23 | 1978 |