Least Common Multiple (LCM) of 186 and 134
The least common multiple (LCM) of 186 and 134 is 12462.
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 186 and 134?
First, calculate the GCD of 186 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 134 = 1 remainder 52 |
| 2 | 134 ÷ 52 = 2 remainder 30 |
| 3 | 52 ÷ 30 = 1 remainder 22 |
| 4 | 30 ÷ 22 = 1 remainder 8 |
| 5 | 22 ÷ 8 = 2 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 109 | 1308 |
| 125 and 100 | 500 |
| 147 and 141 | 6909 |
| 189 and 136 | 25704 |
| 171 and 70 | 11970 |