Least Common Multiple (LCM) of 134 and 188
The least common multiple (LCM) of 134 and 188 is 12596.
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 134 and 188?
First, calculate the GCD of 134 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 188 = 0 remainder 134 |
| 2 | 188 ÷ 134 = 1 remainder 54 |
| 3 | 134 ÷ 54 = 2 remainder 26 |
| 4 | 54 ÷ 26 = 2 remainder 2 |
| 5 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 91 | 17381 |
| 26 and 136 | 1768 |
| 167 and 72 | 12024 |
| 181 and 125 | 22625 |
| 115 and 153 | 17595 |